11781202560 has 256 divisors, whose sum is σ = 38757519360. Its totient is φ = 3041722368.

The previous prime is 11781202549. The next prime is 11781202571. The reversal of 11781202560 is 6520218711.

It is an interprime number because it is at equal distance from previous prime (11781202549) and next prime (11781202571).

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, 27208104 + ... + 27208536.

It is an arithmetic number, because the mean of its divisors is an integer number (151396560).

Almost surely, 2^11781202560 is an apocalyptic number.

11781202560 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 11781202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19378759680).

11781202560 is an abundant number, since it is smaller than the sum of its proper divisors (26976316800).

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

11781202560 is a wasteful number, since it uses less digits than its factorization.

11781202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 11781202560 in words is "eleven billion, seven hundred eighty-one million, two hundred two thousand, five hundred sixty".