57465870440 has 128 divisors (see below), whose sum is σ = 149549742720. Its totient is φ = 19641139200.

The previous prime is 57465870433. The next prime is 57465870493. The reversal of 57465870440 is 4407856475.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6061544 + ... + 6071016.

It is an arithmetic number, because the mean of its divisors is an integer number (1168357365).

Almost surely, 2^57465870440 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 57465870440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74774871360).

57465870440 is an abundant number, since it is smaller than the sum of its proper divisors (92083872280).

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

57465870440 is a wasteful number, since it uses less digits than its factorization.

57465870440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 50.

The spelling of 57465870440 in words is "fifty-seven billion, four hundred sixty-five million, eight hundred seventy thousand, four hundred forty".