1057976371200 has 576 divisors, whose sum is σ = 4026492288000. Its totient is φ = 240049520640.

The previous prime is 1057976371187. The next prime is 1057976371201. The reversal of 1057976371200 is 21736797501.

It is a super-2 number, since 2×1057976371200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1057976371200.

It is not an unprimeable number, because it can be changed into a prime (1057976371201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149449261 + ... + 149456339.

It is an arithmetic number, because the mean of its divisors is an integer number (6990438000).

Almost surely, 2^{1057976371200} is an apocalyptic number.

1057976371200 is a gapful number since it is divisible by the number (10) 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 1057976371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013246144000).

1057976371200 is an abundant number, since it is smaller than the sum of its proper divisors (2968515916800).

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

1057976371200 is a wasteful number, since it uses less digits than its factorization.

1057976371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 48.

The spelling of 1057976371200 in words is "one trillion, fifty-seven billion, nine hundred seventy-six million, three hundred seventy-one thousand, two hundred".