11128735800 has 480 divisors, whose sum is σ = 47577684000. Its totient is φ = 2347729920.

The previous prime is 11128735799. The next prime is 11128735831. The reversal of 11128735800 is 853782111.

11128735800 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 8 + 73 + 580 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 1470426 + ... + 1477974.

It is an arithmetic number, because the mean of its divisors is an integer number (99120175).

Almost surely, 2^11128735800 is an apocalyptic number.

11128735800 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 11128735800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23788842000).

11128735800 is an abundant number, since it is smaller than the sum of its proper divisors (36448948200).

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

11128735800 is a wasteful number, since it uses less digits than its factorization.

11128735800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7597 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11128735800 in words is "eleven billion, one hundred twenty-eight million, seven hundred thirty-five thousand, eight hundred".