11601008640 has 576 divisors, whose sum is σ = 45289782720. Its totient is φ = 2724986880.

The previous prime is 11601008633. The next prime is 11601008677. The reversal of 11601008640 is 4680010611.

11601008640 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 10 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27555630 + ... + 27556050.

It is an arithmetic number, because the mean of its divisors is an integer number (78628095).

Almost surely, 2^11601008640 is an apocalyptic number.

11601008640 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 11601008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22644891360).

11601008640 is an abundant number, since it is smaller than the sum of its proper divisors (33688774080).

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

11601008640 is a wasteful number, since it uses less digits than its factorization.

11601008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11601008640 in words is "eleven billion, six hundred one million, eight thousand, six hundred forty".