10138037760 has 480 divisors, whose sum is σ = 37356359040. Its totient is φ = 2633637888.

The previous prime is 10138037759. The next prime is 10138037783. The reversal of 10138037760 is 6773083101.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 26749251 + ... + 26749629.

It is an arithmetic number, because the mean of its divisors is an integer number (77825748).

Almost surely, 2^10138037760 is an apocalyptic number.

10138037760 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 10138037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18678179520).

10138037760 is an abundant number, since it is smaller than the sum of its proper divisors (27218321280).

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

10138037760 is an frugal number, since it uses more digits than its factorization.

10138037760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10138037760 in words is "ten billion, one hundred thirty-eight million, thirty-seven thousand, seven hundred sixty".