10138050531180 has 432 divisors, whose sum is σ = 36755548415040. Its totient is φ = 2246622428160.

The previous prime is 10138050531143. The next prime is 10138050531187. The reversal of 10138050531180 is 8113505083101.

10138050531180 is a `hidden beast` number, since 1 + 0 + 1 + 38 + 0 + 505 + 3 + 118 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10138050531187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28989606 + ... + 29337234.

Almost surely, 2^{10138050531180} is an apocalyptic number.

10138050531180 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 10138050531180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18377774207520).

10138050531180 is an abundant number, since it is smaller than the sum of its proper divisors (26617497883860).

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

10138050531180 is a wasteful number, since it uses less digits than its factorization.

10138050531180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347782 (or 347766 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 10138050531180 in words is "ten trillion, one hundred thirty-eight billion, fifty million, five hundred thirty-one thousand, one hundred eighty".