11891002560 has 224 divisors, whose sum is σ = 39853209600. Its totient is φ = 2995568640.

The previous prime is 11891002547. The next prime is 11891002589. The reversal of 11891002560 is 6520019811.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8736280 + ... + 8737640.

Almost surely, 2^11891002560 is an apocalyptic number.

11891002560 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 11891002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926604800).

11891002560 is an abundant number, since it is smaller than the sum of its proper divisors (27962207040).

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

11891002560 is a wasteful number, since it uses less digits than its factorization.

11891002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 11891002560 in words is "eleven billion, eight hundred ninety-one million, two thousand, five hundred sixty".