11308879800 has 576 divisors, whose sum is σ = 42707683200. Its totient is φ = 2771366400.

The previous prime is 11308879793. The next prime is 11308879831. The reversal of 11308879800 is 897880311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34165635 + ... + 34165965.

Almost surely, 2^11308879800 is an apocalyptic number.

11308879800 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 11308879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21353841600).

11308879800 is an abundant number, since it is smaller than the sum of its proper divisors (31398803400).

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

11308879800 is a wasteful number, since it uses less digits than its factorization.

11308879800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11308879800 in words is "eleven billion, three hundred eight million, eight hundred seventy-nine thousand, eight hundred".