11553107280 has 320 divisors, whose sum is σ = 43437219840. Its totient is φ = 2501683200.

The previous prime is 11553107257. The next prime is 11553107297. The reversal of 11553107280 is 8270135511.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1058491 + ... + 1069349.

It is an arithmetic number, because the mean of its divisors is an integer number (135741312).

Almost surely, 2^11553107280 is an apocalyptic number.

11553107280 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 11553107280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718609920).

11553107280 is an abundant number, since it is smaller than the sum of its proper divisors (31884112560).

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

11553107280 is a wasteful number, since it uses less digits than its factorization.

11553107280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10930 (or 10924 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The spelling of 11553107280 in words is "eleven billion, five hundred fifty-three million, one hundred seven thousand, two hundred eighty".