11760137913312 has 192 divisors, whose sum is σ = 35151546931200. Its totient is φ = 3822851496960.

The previous prime is 11760137913287. The next prime is 11760137913371. The reversal of 11760137913312 is 21331973106711.

11760137913312 is a `hidden beast` number, since 1 + 1 + 7 + 601 + 3 + 7 + 9 + 1 + 3 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87040113 + ... + 87175119.

It is an arithmetic number, because the mean of its divisors is an integer number (183080973600).

Almost surely, 2^{11760137913312} is an apocalyptic number.

11760137913312 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 11760137913312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575773465600).

11760137913312 is an abundant number, since it is smaller than the sum of its proper divisors (23391409017888).

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

11760137913312 is a wasteful number, since it uses less digits than its factorization.

11760137913312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137526 (or 137512 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 11760137913312 in words is "eleven trillion, seven hundred sixty billion, one hundred thirty-seven million, nine hundred thirteen thousand, three hundred twelve".