10931880960 has 1408 divisors, whose sum is σ = 52822425600. Its totient is φ = 2070282240.

The previous prime is 10931880941. The next prime is 10931880961. The reversal of 10931880960 is 6908813901.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×10931880960² (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 not an unprimeable number, because it can be changed into a prime (10931880961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138378201 + ... + 138378279.

Almost surely, 2^10931880960 is an apocalyptic number.

10931880960 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 10931880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26411212800).

10931880960 is an abundant number, since it is smaller than the sum of its proper divisors (41890544640).

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

10931880960 is a wasteful number, since it uses less digits than its factorization.

10931880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 10931880960 in words is "ten billion, nine hundred thirty-one million, eight hundred eighty thousand, nine hundred sixty".