1157152624928 has 12 divisors (see below), whose sum is σ = 2278144230390. Its totient is φ = 578576312448.

The previous prime is 1157152624913. The next prime is 1157152624931. The reversal of 1157152624928 is 8294262517511.

It can be written as a sum of positive squares in only one way, i.e., 641645856784 + 515506768144 = 801028^2 + 717988^2 .

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1157152624928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18080509733 + ... + 18080509796.

Almost surely, 2^{1157152624928} is an apocalyptic number.

It is an amenable number.

1157152624928 is a deficient number, since it is larger than the sum of its proper divisors (1120991605462).

1157152624928 is an equidigital number, since it uses as much as digits as its factorization.

1157152624928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36161019539 (or 36161019531 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 53.

The spelling of 1157152624928 in words is "one trillion, one hundred fifty-seven billion, one hundred fifty-two million, six hundred twenty-four thousand, nine hundred twenty-eight".