10115455200 has 576 divisors, whose sum is σ = 36447667200. Its totient is φ = 2428518400.

The previous prime is 10115455199. The next prime is 10115455211. The reversal of 10115455200 is 255451101.

10115455200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10115455200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113656756 + ... + 113656844.

It is an arithmetic number, because the mean of its divisors is an integer number (63277200).

Almost surely, 2^10115455200 is an apocalyptic number.

10115455200 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 10115455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18223833600).

10115455200 is an abundant number, since it is smaller than the sum of its proper divisors (26332212000).

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

10115455200 is a wasteful number, since it uses less digits than its factorization.

10115455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The spelling of 10115455200 in words is "ten billion, one hundred fifteen million, four hundred fifty-five thousand, two hundred".