11870765817120 has 216 divisors, whose sum is σ = 47122701014844. Its totient is φ = 2713317884928.

The previous prime is 11870765817109. The next prime is 11870765817133. The reversal of 11870765817120 is 2171856707811.

It can be written as a sum of positive squares in 2 ways, for example, as 10576986963984 + 1293778853136 = 3252228^2 + 1137444^2 .

It is a super-2 number, since 2×11870765817120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84047679 + ... + 84188798.

Almost surely, 2^{11870765817120} is an apocalyptic number.

11870765817120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11870765817120 is an abundant number, since it is smaller than the sum of its proper divisors (35251935197724).

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

11870765817120 is a wasteful number, since it uses less digits than its factorization.

11870765817120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168236512 (or 168236494 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 54.

The spelling of 11870765817120 in words is "eleven trillion, eight hundred seventy billion, seven hundred sixty-five million, eight hundred seventeen thousand, one hundred twenty".