11736115212960 has 288 divisors, whose sum is σ = 40714611629328. Its totient is φ = 3077677301760.

The previous prime is 11736115212863. The next prime is 11736115212989. The reversal of 11736115212960 is 6921251163711.

11736115212960 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 61 + 1 + 521 + 2 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2327589614736 + 9408525598224 = 1525644^2 + 3067332^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11736115212960² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531684484 + ... + 531706556.

Almost surely, 2^{11736115212960} is an apocalyptic number.

11736115212960 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 11736115212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357305814664).

11736115212960 is an abundant number, since it is smaller than the sum of its proper divisors (28978496416368).

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

11736115212960 is a wasteful number, since it uses less digits than its factorization.

11736115212960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28208 (or 28197 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 11736115212960 in words is "eleven trillion, seven hundred thirty-six billion, one hundred fifteen million, two hundred twelve thousand, nine hundred sixty".