57753416700 has 216 divisors, whose sum is σ = 211288476672. Its totient is φ = 12919847040.

The previous prime is 57753416689. The next prime is 57753416701. The reversal of 57753416700 is 761435775.

57753416700 is a `hidden beast` number, since 57 + 7 + 534 + 1 + 67 + 0 + 0 = 666.

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 (57753416701) 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 71 ways as a sum of consecutive naturals, for example, 198577 + ... + 393623.

It is an arithmetic number, because the mean of its divisors is an integer number (978187392).

Almost surely, 2^57753416700 is an apocalyptic number.

57753416700 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 57753416700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105644238336).

57753416700 is an abundant number, since it is smaller than the sum of its proper divisors (153535059972).

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

57753416700 is a wasteful number, since it uses less digits than its factorization.

57753416700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195121 (or 195111 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 57753416700 in words is "fifty-seven billion, seven hundred fifty-three million, four hundred sixteen thousand, seven hundred".