10638059520 has 192 divisors, whose sum is σ = 37128611520. Its totient is φ = 2578841600.

The previous prime is 10638059513. The next prime is 10638059557. The reversal of 10638059520 is 2595083601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10638059520² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322180 + ... + 353660.

It is an arithmetic number, because the mean of its divisors is an integer number (193378185).

Almost surely, 2^10638059520 is an apocalyptic number.

10638059520 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 10638059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564305760).

10638059520 is an abundant number, since it is smaller than the sum of its proper divisors (26490552000).

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

10638059520 is a wasteful number, since it uses less digits than its factorization.

10638059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31522 (or 31502 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 10638059520 in words is "ten billion, six hundred thirty-eight million, fifty-nine thousand, five hundred twenty".