1161157056512 has 96 divisors (see below), whose sum is σ = 2358021556800. Its totient is φ = 571519770624.

The previous prime is 1161157056509. The next prime is 1161157056569. The reversal of 1161157056512 is 2156507511611.

It is a super-2 number, since 2×1161157056512² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1161157056512.

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, 384614939 + ... + 384617957.

It is an arithmetic number, because the mean of its divisors is an integer number (24562724550).

Almost surely, 2^{1161157056512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161157056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179010778400).

1161157056512 is an abundant number, since it is smaller than the sum of its proper divisors (1196864500288).

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

1161157056512 is an equidigital number, since it uses as much as digits as its factorization.

1161157056512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 41.

The spelling of 1161157056512 in words is "one trillion, one hundred sixty-one billion, one hundred fifty-seven million, fifty-six thousand, five hundred twelve".