57752735040 has 2016 divisors, whose sum is σ = 284014688256. Its totient is φ = 10437672960.

The previous prime is 57752735039. The next prime is 57752735071. The reversal of 57752735040 is 4053725775.

57752735040 is a `hidden beast` number, since 5 + 7 + 75 + 2 + 73 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 861981087 + ... + 861981153.

Almost surely, 2^57752735040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57752735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142007344128).

57752735040 is an abundant number, since it is smaller than the sum of its proper divisors (226261953216).

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

57752735040 is a wasteful number, since it uses less digits than its factorization.

57752735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 45.

The spelling of 57752735040 in words is "fifty-seven billion, seven hundred fifty-two million, seven hundred thirty-five thousand, forty".