1160753636400 has 120 divisors (see below), whose sum is σ = 3718587270480. Its totient is φ = 309508792320.

The previous prime is 1160753636389. The next prime is 1160753636431. The reversal of 1160753636400 is 46363570611.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17882404 + ... + 17947196.

It is an arithmetic number, because the mean of its divisors is an integer number (30988227254).

Almost surely, 2^{1160753636400} is an apocalyptic number.

1160753636400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1160753636400 is an abundant number, since it is smaller than the sum of its proper divisors (2557833634080).

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

1160753636400 is a wasteful number, since it uses less digits than its factorization.

1160753636400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79743 (or 79732 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 1160753636400 in words is "one trillion, one hundred sixty billion, seven hundred fifty-three million, six hundred thirty-six thousand, four hundred".