10138054080 has 896 divisors, whose sum is σ = 42978263040. Its totient is φ = 1962639360.

The previous prime is 10138054063. The next prime is 10138054097. The reversal of 10138054080 is 8045083101.

It is an interprime number because it is at equal distance from previous prime (10138054063) and next prime (10138054097).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113910676 + ... + 113910764.

Almost surely, 2^10138054080 is an apocalyptic number.

10138054080 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 10138054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21489131520).

10138054080 is an abundant number, since it is smaller than the sum of its proper divisors (32840208960).

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

10138054080 is a wasteful number, since it uses less digits than its factorization.

10138054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 10138054080 in words is "ten billion, one hundred thirty-eight million, fifty-four thousand, eighty".