11321792994960 has 1280 divisors, whose sum is σ = 48655685836800. Its totient is φ = 2391638814720.

The previous prime is 11321792994959. The next prime is 11321792994977. The reversal of 11321792994960 is 6949929712311.

11321792994960 is a `hidden beast` number, since 1 + 132 + 1 + 7 + 9 + 2 + 9 + 9 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 954050947 + ... + 954062813.

It is an arithmetic number, because the mean of its divisors is an integer number (38012254560).

Almost surely, 2^{11321792994960} is an apocalyptic number.

11321792994960 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 11321792994960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24327842918400).

11321792994960 is an abundant number, since it is smaller than the sum of its proper divisors (37333892841840).

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

11321792994960 is a wasteful number, since it uses less digits than its factorization.

11321792994960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11968 (or 11944 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 11321792994960 in words is "eleven trillion, three hundred twenty-one billion, seven hundred ninety-two million, nine hundred ninety-four thousand, nine hundred sixty".