11253899520 has 216 divisors, whose sum is σ = 39017474496. Its totient is φ = 2994868224.

The previous prime is 11253899477. The next prime is 11253899549. The reversal of 11253899520 is 2599835211.

11253899520 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 38 + 99 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9480367 + ... + 9481553.

It is an arithmetic number, because the mean of its divisors is an integer number (180636456).

Almost surely, 2^11253899520 is an apocalyptic number.

11253899520 is a gapful number since it is divisible by the number (10) 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 11253899520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19508737248).

11253899520 is an abundant number, since it is smaller than the sum of its proper divisors (27763574976).

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

11253899520 is a wasteful number, since it uses less digits than its factorization.

11253899520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 11253899520 in words is "eleven billion, two hundred fifty-three million, eight hundred ninety-nine thousand, five hundred twenty".