11965177881612 has 480 divisors, whose sum is σ = 34441811712000. Its totient is φ = 3605817047040.

The previous prime is 11965177881589. The next prime is 11965177881617. The reversal of 11965177881612 is 21618877156911.

11965177881612 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 5 + 1 + 7 + 7 + 8 + 8 + 1 + 612 = 666.

Its product of digits (10160640) is a multiple of the sum of its prime factors (1323).

It is a self number, because there is not a number n which added to its sum of digits gives 11965177881612.

It is not an unprimeable number, because it can be changed into a prime (11965177881617) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23978312139 + ... + 23978312637.

It is an arithmetic number, because the mean of its divisors is an integer number (71753774400).

Almost surely, 2^{11965177881612} is an apocalyptic number.

11965177881612 is a gapful number since it is divisible by the number (12) 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 11965177881612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17220905856000).

11965177881612 is an abundant number, since it is smaller than the sum of its proper divisors (22476633830388).

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

11965177881612 is a wasteful number, since it uses less digits than its factorization.

11965177881612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1312 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 63.

The spelling of 11965177881612 in words is "eleven trillion, nine hundred sixty-five billion, one hundred seventy-seven million, eight hundred eighty-one thousand, six hundred twelve".