1057236832000 has 72 divisors (see below), whose sum is σ = 2633709182832. Its totient is φ = 422894720000.

The previous prime is 1057236831979. The next prime is 1057236832019. The reversal of 1057236832000 is 2386327501.

It is a super-2 number, since 2×1057236832000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16487326 + ... + 16551325.

It is an arithmetic number, because the mean of its divisors is an integer number (36579294206).

Almost surely, 2^{1057236832000} is an apocalyptic number.

1057236832000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057236832000 is an abundant number, since it is smaller than the sum of its proper divisors (1576472350832).

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

1057236832000 is an frugal number, since it uses more digits than its factorization.

1057236832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33038682 (or 33038658 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 1057236832000 in words is "one trillion, fifty-seven billion, two hundred thirty-six million, eight hundred thirty-two thousand".