10115056152432 has 360 divisors, whose sum is σ = 35604795175040. Its totient is φ = 2624022086400.

The previous prime is 10115056152413. The next prime is 10115056152449. The reversal of 10115056152432 is 23425165051101.

10115056152432 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 5 + 0 + 5 + 615 + 2 + 4 + 32 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98864919 + ... + 98967177.

Almost surely, 2^{10115056152432} is an apocalyptic number.

10115056152432 is a gapful number since it is divisible by the number (12) 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 10115056152432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802397587520).

10115056152432 is an abundant number, since it is smaller than the sum of its proper divisors (25489739022608).

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

10115056152432 is a wasteful number, since it uses less digits than its factorization.

10115056152432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103113 (or 103093 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10115056152432 in words is "ten trillion, one hundred fifteen billion, fifty-six million, one hundred fifty-two thousand, four hundred thirty-two".