10015234832160 has 288 divisors, whose sum is σ = 35289744602112. Its totient is φ = 2583824209920.

The previous prime is 10015234832159. The next prime is 10015234832179. The reversal of 10015234832160 is 6123843251001.

10015234832160 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 523 + 48 + 32 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162324837 + ... + 162386523.

It is an arithmetic number, because the mean of its divisors is an integer number (122533835424).

Almost surely, 2^{10015234832160} is an apocalyptic number.

10015234832160 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 10015234832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17644872301056).

10015234832160 is an abundant number, since it is smaller than the sum of its proper divisors (25274509769952).

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

10015234832160 is a wasteful number, since it uses less digits than its factorization.

10015234832160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65376 (or 65365 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10015234832160 in words is "ten trillion, fifteen billion, two hundred thirty-four million, eight hundred thirty-two thousand, one hundred sixty".