10638638820 has 120 divisors (see below), whose sum is σ = 33402969600. Its totient is φ = 2834491968.

The previous prime is 10638638789. The next prime is 10638638837. The reversal of 10638638820 is 2883683601.

10638638820 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 8 + 638 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×10638638820² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2555901 + ... + 2560059.

It is an arithmetic number, because the mean of its divisors is an integer number (278358080).

Almost surely, 2^10638638820 is an apocalyptic number.

10638638820 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 10638638820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16701484800).

10638638820 is an abundant number, since it is smaller than the sum of its proper divisors (22764330780).

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

10638638820 is a wasteful number, since it uses less digits than its factorization.

10638638820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10638638820 in words is "ten billion, six hundred thirty-eight million, six hundred thirty-eight thousand, eight hundred twenty".