57434420102500 has 405 divisors, whose sum is σ = 149027684909103. Its totient is φ = 19305295128000.

The previous prime is 57434420102473. The next prime is 57434420102509. The reversal of 57434420102500 is 520102443475.

The square root of 57434420102500 is 7578550.

It is a perfect power (a square), and thus also a powerful number.

57434420102500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4502858536036 + 52931561566464 = 2121994^2 + 7275408^2 .

It is a super-2 number, since 2×57434420102500² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57434420102500.

It is not an unprimeable number, because it can be changed into a prime (57434420102509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 156497057317 + ... + 156497057683.

Almost surely, 2^{57434420102500} is an apocalyptic number.

57434420102500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57434420102500 is the 7578550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57434420102500

57434420102500 is an abundant number, since it is smaller than the sum of its proper divisors (91593264806603).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57434420102500 is an frugal number, since it uses more digits than its factorization.

57434420102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

Adding to 57434420102500 its reverse (520102443475), we get a palindrome (57954522545975).

The spelling of 57434420102500 in words is "fifty-seven trillion, four hundred thirty-four billion, four hundred twenty million, one hundred two thousand, five hundred".