10038583680 has 256 divisors, whose sum is σ = 34470973440. Its totient is φ = 2477629440.

The previous prime is 10038583613. The next prime is 10038583693. The reversal of 10038583680 is 8638583001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365294 + ... + 1372626.

It is an arithmetic number, because the mean of its divisors is an integer number (134652240).

Almost surely, 2^10038583680 is an apocalyptic number.

10038583680 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 10038583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235486720).

10038583680 is an abundant number, since it is smaller than the sum of its proper divisors (24432389760).

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

10038583680 is a wasteful number, since it uses less digits than its factorization.

10038583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10038583680 in words is "ten billion, thirty-eight million, five hundred eighty-three thousand, six hundred eighty".