57892423680 has 1440 divisors, whose sum is σ = 261145684800. Its totient is φ = 12007636992.

The previous prime is 57892423669. The next prime is 57892423681. The reversal of 57892423680 is 8632429875.

57892423680 is a `hidden beast` number, since 5 + 78 + 92 + 423 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57892423681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 981227491 + ... + 981227549.

It is an arithmetic number, because the mean of its divisors is an integer number (181351170).

Almost surely, 2^57892423680 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 57892423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130572842400).

57892423680 is an abundant number, since it is smaller than the sum of its proper divisors (203253261120).

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

57892423680 is a wasteful number, since it uses less digits than its factorization.

57892423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 57892423680 in words is "fifty-seven billion, eight hundred ninety-two million, four hundred twenty-three thousand, six hundred eighty".