57023664437376 has 576 divisors, whose sum is σ = 216384493852800. Its totient is φ = 14247667445760.

The previous prime is 57023664437351. The next prime is 57023664437401. The reversal of 57023664437376 is 67373446632075.

57023664437376 is a `hidden beast` number, since 5 + 70 + 2 + 3 + 6 + 64 + 437 + 3 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (57023664437351) and next prime (57023664437401).

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11897721 + ... + 15987591.

It is an arithmetic number, because the mean of its divisors is an integer number (375667524050).

Almost surely, 2^{57023664437376} is an apocalyptic number.

57023664437376 is a gapful number since it is divisible by the number (56) 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 57023664437376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108192246926400).

57023664437376 is an abundant number, since it is smaller than the sum of its proper divisors (159360829415424).

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

57023664437376 is a wasteful number, since it uses less digits than its factorization.

57023664437376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089937 (or 4089915 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 63.

The spelling of 57023664437376 in words is "fifty-seven trillion, twenty-three billion, six hundred sixty-four million, four hundred thirty-seven thousand, three hundred seventy-six".