11766795264 has 352 divisors, whose sum is σ = 40177533440. Its totient is φ = 3332358144.

The previous prime is 11766795221. The next prime is 11766795283. The reversal of 11766795264 is 46259766711.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11766795264.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31546182 + ... + 31546554.

It is an arithmetic number, because the mean of its divisors is an integer number (114140720).

Almost surely, 2^11766795264 is an apocalyptic number.

11766795264 is a gapful number since it is divisible by the number (14) 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 11766795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088766720).

11766795264 is an abundant number, since it is smaller than the sum of its proper divisors (28410738176).

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

11766795264 is a wasteful number, since it uses less digits than its factorization.

11766795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 548 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 11766795264 in words is "eleven billion, seven hundred sixty-six million, seven hundred ninety-five thousand, two hundred sixty-four".