1057807973376 has 1386 divisors, whose sum is σ = 4070762292240. Its totient is φ = 273605713920.

The previous prime is 1057807973363. The next prime is 1057807973449. The reversal of 1057807973376 is 6733797087501.

1057807973376 is a `hidden beast` number, since 1 + 0 + 57 + 80 + 79 + 73 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (1386).

It is a super-2 number, since 2×1057807973376² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 4425974665 + ... + 4425974903.

Almost surely, 2^{1057807973376} is an apocalyptic number.

1057807973376 is a gapful number since it is divisible by the number (16) 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 1057807973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035381146120).

1057807973376 is an abundant number, since it is smaller than the sum of its proper divisors (3012954318864).

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

1057807973376 is an equidigital number, since it uses as much as digits as its factorization.

1057807973376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

The spelling of 1057807973376 in words is "one trillion, fifty-seven billion, eight hundred seven million, nine hundred seventy-three thousand, three hundred seventy-six".