11456501325120 has 168 divisors, whose sum is σ = 39547852221384. Its totient is φ = 3044037685248.

The previous prime is 11456501325083. The next prime is 11456501325193. The reversal of 11456501325120 is 2152310565411.

11456501325120 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 6 + 5 + 0 + 132 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 421242537024 + 11035258788096 = 649032^2 + 3321936^2 .

It is a super-2 number, since 2×11456501325120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 6382659 + ... + 7978178.

Almost surely, 2^{11456501325120} is an apocalyptic number.

11456501325120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11456501325120 is an abundant number, since it is smaller than the sum of its proper divisors (28091350896264).

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

11456501325120 is a wasteful number, since it uses less digits than its factorization.

11456501325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14361137 (or 14361124 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 11456501325120 in words is "eleven trillion, four hundred fifty-six billion, five hundred one million, three hundred twenty-five thousand, one hundred twenty".