10638621056 has 128 divisors (see below), whose sum is σ = 26091436800. Its totient is φ = 4218697728.

The previous prime is 10638621017. The next prime is 10638621067. The reversal of 10638621056 is 65012683601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10638621056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724766 + ... + 739298.

It is an arithmetic number, because the mean of its divisors is an integer number (203839350).

Almost surely, 2^10638621056 is an apocalyptic number.

10638621056 is a gapful number since it is divisible by the number (16) 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 10638621056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045718400).

10638621056 is an abundant number, since it is smaller than the sum of its proper divisors (15452815744).

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

10638621056 is a wasteful number, since it uses less digits than its factorization.

10638621056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14616 (or 14604 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 10638621056 in words is "ten billion, six hundred thirty-eight million, six hundred twenty-one thousand, fifty-six".