11007912960 has 880 divisors, whose sum is σ = 45653667840. Its totient is φ = 2508226560.

The previous prime is 11007912959. The next prime is 11007912989. The reversal of 11007912960 is 6921970011.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86676417 + ... + 86676543.

It is an arithmetic number, because the mean of its divisors is an integer number (51879168).

Almost surely, 2^11007912960 is an apocalyptic number.

11007912960 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 11007912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22826833920).

11007912960 is an abundant number, since it is smaller than the sum of its proper divisors (34645754880).

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

11007912960 is a wasteful number, since it uses less digits than its factorization.

11007912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 11007912960 in words is "eleven billion, seven million, nine hundred twelve thousand, nine hundred sixty".