10115539200 has 1080 divisors, whose sum is σ = 42935446400. Its totient is φ = 2329067520.

The previous prime is 10115539177. The next prime is 10115539211. The reversal of 10115539200 is 293551101.

10115539200 is a `hidden beast` number, since 10 + 11 + 553 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 128044761 + ... + 128044839.

Almost surely, 2^10115539200 is an apocalyptic number.

10115539200 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 10115539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21467723200).

10115539200 is an abundant number, since it is smaller than the sum of its proper divisors (32819907200).

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

10115539200 is a wasteful number, since it uses less digits than its factorization.

10115539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 10115539200 in words is "ten billion, one hundred fifteen million, five hundred thirty-nine thousand, two hundred".