11129923800 has 384 divisors, whose sum is σ = 41911603200. Its totient is φ = 2702592000.

The previous prime is 11129923781. The next prime is 11129923829. The reversal of 11129923800 is 832992111.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2843845 + ... + 2847755.

It is an arithmetic number, because the mean of its divisors is an integer number (109144800).

Almost surely, 2^11129923800 is an apocalyptic number.

11129923800 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 11129923800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20955801600).

11129923800 is an abundant number, since it is smaller than the sum of its proper divisors (30781679400).

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

11129923800 is a wasteful number, since it uses less digits than its factorization.

11129923800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11129923800 in words is "eleven billion, one hundred twenty-nine million, nine hundred twenty-three thousand, eight hundred".