10138576320 has 336 divisors, whose sum is σ = 37979604000. Its totient is φ = 2472615936.

The previous prime is 10138576307. The next prime is 10138576361. The reversal of 10138576320 is 2367583101.

10138576320 is a `hidden beast` number, since 1 + 0 + 13 + 8 + 5 + 7 + 632 + 0 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583686 + ... + 1590074.

Almost surely, 2^10138576320 is an apocalyptic number.

10138576320 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 10138576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18989802000).

10138576320 is an abundant number, since it is smaller than the sum of its proper divisors (27841027680).

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

10138576320 is a wasteful number, since it uses less digits than its factorization.

10138576320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10138576320 in words is "ten billion, one hundred thirty-eight million, five hundred seventy-six thousand, three hundred twenty".