11617760385 has 48 divisors (see below), whose sum is σ = 25106440320. Its totient is φ = 4828158720.

The previous prime is 11617760381. The next prime is 11617760417. The reversal of 11617760385 is 58306771611.

It is not a de Polignac number, because 11617760385 - 2² = 11617760381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11617760385.

It is not an unprimeable number, because it can be changed into a prime (11617760381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1672980 + ... + 1679909.

It is an arithmetic number, because the mean of its divisors is an integer number (523050840).

Almost surely, 2^11617760385 is an apocalyptic number.

11617760385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11617760385 is an abundant number, since it is smaller than the sum of its proper divisors (13488679935).

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

11617760385 is a wasteful number, since it uses less digits than its factorization.

11617760385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352918 (or 3352915 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11617760385 in words is "eleven billion, six hundred seventeen million, seven hundred sixty thousand, three hundred eighty-five".