57876313428864 has 2048 divisors, whose sum is σ = 213778317312000. Its totient is φ = 15067275264000.

The previous prime is 57876313428853. The next prime is 57876313428881. The reversal of 57876313428864 is 46882431367875.

57876313428864 is a `hidden beast` number, since 5 + 7 + 87 + 63 + 1 + 3 + 428 + 8 + 64 = 666.

It is a super-2 number, since 2×57876313428864² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57876313428792 and 57876313428801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110662166907 + ... + 110662167429.

It is an arithmetic number, because the mean of its divisors is an integer number (104383944000).

Almost surely, 2^{57876313428864} is an apocalyptic number.

57876313428864 is a gapful number since it is divisible by the number (54) 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 57876313428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106889158656000).

57876313428864 is an abundant number, since it is smaller than the sum of its proper divisors (155902003883136).

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

57876313428864 is a wasteful number, since it uses less digits than its factorization.

57876313428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 727 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 57876313428864 in words is "fifty-seven trillion, eight hundred seventy-six billion, three hundred thirteen million, four hundred twenty-eight thousand, eight hundred sixty-four".