57452468700 has 144 divisors (see below), whose sum is σ = 183895729920. Its totient is φ = 13731648000.

The previous prime is 57452468699. The next prime is 57452468701. The reversal of 57452468700 is 786425475.

It is an interprime number because it is at equal distance from previous prime (57452468699) and next prime (57452468701).

It is a self number, because there is not a number n which added to its sum of digits gives 57452468700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57452468701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111696 + ... + 356904.

It is an arithmetic number, because the mean of its divisors is an integer number (1277053680).

Almost surely, 2^57452468700 is an apocalyptic number.

57452468700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57452468700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91947864960).

57452468700 is an abundant number, since it is smaller than the sum of its proper divisors (126443261220).

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

57452468700 is a wasteful number, since it uses less digits than its factorization.

57452468700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245308 (or 245301 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 57452468700 in words is "fifty-seven billion, four hundred fifty-two million, four hundred sixty-eight thousand, seven hundred".