1057536000000 has 1260 divisors, whose sum is σ = 4193098358904. Its totient is φ = 265420800000.

The previous prime is 1057535999977. The next prime is 1057536000049. The reversal of 1057536000000 is 6357501.

1057536000000 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 53 + 600 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1057536000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 62207999992 + ... + 62208000008.

Almost surely, 2^{1057536000000} is an apocalyptic number.

1057536000000 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 1057536000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096549179452).

1057536000000 is an abundant number, since it is smaller than the sum of its proper divisors (3135562358904).

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

1057536000000 is an frugal number, since it uses more digits than its factorization.

1057536000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 1057536000000 in words is "one trillion, fifty-seven billion, five hundred thirty-six million", and thus it is an aban number.