11251408896 has 672 divisors, whose sum is σ = 42213093120. Its totient is φ = 2898395136.

The previous prime is 11251408891. The next prime is 11251408937. The reversal of 11251408896 is 69880415211.

It is a happy number.

11251408896 is a `hidden beast` number, since 112 + 51 + 408 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11251408891) 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, 261660651 + ... + 261660693.

Almost surely, 2^11251408896 is an apocalyptic number.

11251408896 is a gapful number since it is divisible by the number (16) 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 11251408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21106546560).

11251408896 is an abundant number, since it is smaller than the sum of its proper divisors (30961684224).

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

11251408896 is an equidigital number, since it uses as much as digits as its factorization.

11251408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11251408896 in words is "eleven billion, two hundred fifty-one million, four hundred eight thousand, eight hundred ninety-six".