11755127762616 has 128 divisors (see below), whose sum is σ = 34277160960000. Its totient is φ = 3358054094976.

The previous prime is 11755127762551. The next prime is 11755127762617. The reversal of 11755127762616 is 61626772155711.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11755127762617) 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, 51162505 + ... + 51391751.

It is an arithmetic number, because the mean of its divisors is an integer number (267790320000).

Almost surely, 2^{11755127762616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11755127762616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17138580480000).

11755127762616 is an abundant number, since it is smaller than the sum of its proper divisors (22522033197384).

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

11755127762616 is a wasteful number, since it uses less digits than its factorization.

11755127762616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235506 (or 235488 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 57.

The spelling of 11755127762616 in words is "eleven trillion, seven hundred fifty-five billion, one hundred twenty-seven million, seven hundred sixty-two thousand, six hundred sixteen".