11296608960 has 840 divisors, whose sum is σ = 46870589520. Its totient is φ = 2301272064.

The previous prime is 11296608937. The next prime is 11296608977. The reversal of 11296608960 is 6980669211.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×11296608960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 389538226 + ... + 389538254.

Almost surely, 2^11296608960 is an apocalyptic number.

11296608960 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 11296608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23435294760).

11296608960 is an abundant number, since it is smaller than the sum of its proper divisors (35573980560).

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

11296608960 is an equidigital number, since it uses as much as digits as its factorization.

11296608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 11296608960 in words is "eleven billion, two hundred ninety-six million, six hundred eight thousand, nine hundred sixty".