1057525308000 has 1344 divisors, whose sum is σ = 4504423053312. Its totient is φ = 238897382400.

The previous prime is 1057525307957. The next prime is 1057525308053. The reversal of 1057525308000 is 8035257501.

1057525308000 is a `hidden beast` number, since 1 + 0 + 57 + 525 + 3 + 0 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×1057525308000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2102435749 + ... + 2102436251.

It is an arithmetic number, because the mean of its divisors is an integer number (3351505248).

Almost surely, 2^{1057525308000} is an apocalyptic number.

1057525308000 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 1057525308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252211526656).

1057525308000 is an abundant number, since it is smaller than the sum of its proper divisors (3446897745312).

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

1057525308000 is an equidigital number, since it uses as much as digits as its factorization.

1057525308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 1057525308000 in words is "one trillion, fifty-seven billion, five hundred twenty-five million, three hundred eight thousand".