11911387725072 has 640 divisors, whose sum is σ = 39767169024000. Its totient is φ = 3380059238400.

The previous prime is 11911387725047. The next prime is 11911387725073. The reversal of 11911387725072 is 27052778311911.

It is a happy number.

11911387725072 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 1 + 387 + 7 + 250 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11911387725073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 569939679 + ... + 569960577.

It is an arithmetic number, because the mean of its divisors is an integer number (62136201600).

Almost surely, 2^{11911387725072} is an apocalyptic number.

11911387725072 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 11911387725072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883584512000).

11911387725072 is an abundant number, since it is smaller than the sum of its proper divisors (27855781298928).

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

11911387725072 is a wasteful number, since it uses less digits than its factorization.

11911387725072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21084 (or 21072 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 54.

The spelling of 11911387725072 in words is "eleven trillion, nine hundred eleven billion, three hundred eighty-seven million, seven hundred twenty-five thousand, seventy-two".