11253479688 has 320 divisors, whose sum is σ = 35393371200. Its totient is φ = 3325639680.

The previous prime is 11253479557. The next prime is 11253479707. The reversal of 11253479688 is 88697435211.

11253479688 is a `hidden beast` number, since 1 + 12 + 534 + 7 + 96 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 126443548 + ... + 126443636.

It is an arithmetic number, because the mean of its divisors is an integer number (110604285).

Almost surely, 2^11253479688 is an apocalyptic number.

11253479688 is a gapful number since it is divisible by the number (18) 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 11253479688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696685600).

11253479688 is an abundant number, since it is smaller than the sum of its proper divisors (24139891512).

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

11253479688 is an frugal number, since it uses more digits than its factorization.

11253479688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 11253479688 in words is "eleven billion, two hundred fifty-three million, four hundred seventy-nine thousand, six hundred eighty-eight".