11320960000 has 495 divisors, whose sum is σ = 34719119919. Its totient is φ = 3677184000.

The previous prime is 11320959997. The next prime is 11320960037. The reversal of 11320960000 is 6902311.

The square root of 11320960000 is 106400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 887563264 + 10433396736 = 29792^2 + 102144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 595839991 + ... + 595840009.

Almost surely, 2^11320960000 is an apocalyptic number.

11320960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11320960000 is the 106400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11320960000

11320960000 is an abundant number, since it is smaller than the sum of its proper divisors (23398159919).

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

11320960000 is an frugal number, since it uses more digits than its factorization.

11320960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Multiplying 11320960000 by its product of nonzero digits (324), we get a square (3667991040000 = 1915200²).

The spelling of 11320960000 in words is "eleven billion, three hundred twenty million, nine hundred sixty thousand".