11625796131840 has 352 divisors, whose sum is σ = 45071984459520. Its totient is φ = 2818374451200.

The previous prime is 11625796131821. The next prime is 11625796131847. The reversal of 11625796131840 is 4813169752611.

11625796131840 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 5 + 7 + 9 + 613 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11625796131847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2302026 + ... + 5343305.

It is a 1-persistent number, because it is pandigital, but 2⋅11625796131840 = 23251592263680 is not.

Almost surely, 2^{11625796131840} is an apocalyptic number.

11625796131840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11625796131840 is an abundant number, since it is smaller than the sum of its proper divisors (33446188327680).

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

11625796131840 is a wasteful number, since it uses less digits than its factorization.

11625796131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7645376 (or 7645352 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11625796131840 in words is "eleven trillion, six hundred twenty-five billion, seven hundred ninety-six million, one hundred thirty-one thousand, eight hundred forty".