11318952960 has 660 divisors, whose sum is σ = 47267596332. Its totient is φ = 2582544384.

The previous prime is 11318952959. The next prime is 11318952979. The reversal of 11318952960 is 6925981311.

11318952960 is a `hidden beast` number, since 11 + 31 + 89 + 529 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2341011456 + 8977941504 = 48384^2 + 94752^2 .

It is a super-2 number, since 2×11318952960² (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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321002 + ... + 20321558.

Almost surely, 2^11318952960 is an apocalyptic number.

11318952960 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 11318952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23633798166).

11318952960 is an abundant number, since it is smaller than the sum of its proper divisors (35948643372).

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

11318952960 is an equidigital number, since it uses as much as digits as its factorization.

11318952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11318952960 in words is "eleven billion, three hundred eighteen million, nine hundred fifty-two thousand, nine hundred sixty".