57456155700 has 108 divisors (see below), whose sum is σ = 180291689760. Its totient is φ = 15304749120.

The previous prime is 57456155693. The next prime is 57456155707. The reversal of 57456155700 is 755165475.

57456155700 is a `hidden beast` number, since 5 + 74 + 5 + 6 + 1 + 5 + 570 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57456155693) and next prime (57456155707).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57456155707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 792367 + ... + 861833.

Almost surely, 2^57456155700 is an apocalyptic number.

57456155700 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 57456155700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90145844880).

57456155700 is an abundant number, since it is smaller than the sum of its proper divisors (122835534060).

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

57456155700 is a wasteful number, since it uses less digits than its factorization.

57456155700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70406 (or 70396 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 57456155700 in words is "fifty-seven billion, four hundred fifty-six million, one hundred fifty-five thousand, seven hundred".