11617005720 has 64 divisors (see below), whose sum is σ = 35975255040. Its totient is φ = 2997936000.

The previous prime is 11617005703. The next prime is 11617005721. The reversal of 11617005720 is 2750071611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11617005721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557706 + ... + 1565145.

It is an arithmetic number, because the mean of its divisors is an integer number (562113360).

Almost surely, 2^11617005720 is an apocalyptic number.

11617005720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11617005720 is an abundant number, since it is smaller than the sum of its proper divisors (24358249320).

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

11617005720 is a wasteful number, since it uses less digits than its factorization.

11617005720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122896 (or 3122892 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The spelling of 11617005720 in words is "eleven billion, six hundred seventeen million, five thousand, seven hundred twenty".