11251531296 has 72 divisors (see below), whose sum is σ = 32326483644. Its totient is φ = 3711836160.

The previous prime is 11251531267. The next prime is 11251531303. The reversal of 11251531296 is 69213515211.

It is a happy number.

11251531296 is a `hidden beast` number, since 1 + 1 + 251 + 5 + 312 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11017441296 + 234090000 = 104964^2 + 15300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11251531296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173445 + ... + 229316.

Almost surely, 2^11251531296 is an apocalyptic number.

11251531296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11251531296 is an abundant number, since it is smaller than the sum of its proper divisors (21074952348).

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

11251531296 is a wasteful number, since it uses less digits than its factorization.

11251531296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402874 (or 402863 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The spelling of 11251531296 in words is "eleven billion, two hundred fifty-one million, five hundred thirty-one thousand, two hundred ninety-six".