1157104968320 has 128 divisors (see below), whose sum is σ = 3263356339200. Its totient is φ = 383924183040.

The previous prime is 1157104968319. The next prime is 1157104968347. The reversal of 1157104968320 is 238694017511.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4026965 + ... + 4304724.

It is an arithmetic number, because the mean of its divisors is an integer number (25494971400).

It is a 1-persistent number, because it is pandigital, but 2⋅1157104968320 = 2314209936640 is not.

Almost surely, 2^{1157104968320} is an apocalyptic number.

1157104968320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157104968320 is an abundant number, since it is smaller than the sum of its proper divisors (2106251370880).

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

1157104968320 is an equidigital number, since it uses as much as digits as its factorization.

1157104968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331746 (or 8331734 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 1157104968320 in words is "one trillion, one hundred fifty-seven billion, one hundred four million, nine hundred sixty-eight thousand, three hundred twenty".