1162056792960 has 1792 divisors, whose sum is σ = 5109447974400. Its totient is φ = 246701998080.

The previous prime is 1162056792959. The next prime is 1162056792991. The reversal of 1162056792960 is 692976502611.

1162056792960 is a `hidden beast` number, since 1 + 1 + 620 + 5 + 6 + 7 + 9 + 2 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1162056792897 and 1162056792906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3785201127 + ... + 3785201433.

It is an arithmetic number, because the mean of its divisors is an integer number (2851254450).

Almost surely, 2^{1162056792960} is an apocalyptic number.

1162056792960 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 1162056792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554723987200).

1162056792960 is an abundant number, since it is smaller than the sum of its proper divisors (3947391181440).

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

1162056792960 is an equidigital number, since it uses as much as digits as its factorization.

1162056792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1162056792960 in words is "one trillion, one hundred sixty-two billion, fifty-six million, seven hundred ninety-two thousand, nine hundred sixty".