11956792320 has 440 divisors, whose sum is σ = 46759342608. Its totient is φ = 2897510400.

The previous prime is 11956792319. The next prime is 11956792391. The reversal of 11956792320 is 2329765911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (440).

It is a super-2 number, since 2×11956792320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4560610 + ... + 4563230.

Almost surely, 2^11956792320 is an apocalyptic number.

11956792320 is a gapful number since it is divisible by the number (10) 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 11956792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23379671304).

11956792320 is an abundant number, since it is smaller than the sum of its proper divisors (34802550288).

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

11956792320 is a wasteful number, since it uses less digits than its factorization.

11956792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 11956792320 in words is "eleven billion, nine hundred fifty-six million, seven hundred ninety-two thousand, three hundred twenty".