10638562860 has 72 divisors (see below), whose sum is σ = 32283210960. Its totient is φ = 2835815808.

The previous prime is 10638562813. The next prime is 10638562901. The reversal of 10638562860 is 6826583601.

10638562860 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 8 + 562 + 86 + 0 = 666.

10638562860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10638562860² (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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501346 + ... + 522134.

It is an arithmetic number, because the mean of its divisors is an integer number (448377930).

Almost surely, 2^10638562860 is an apocalyptic number.

10638562860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10638562860 is an abundant number, since it is smaller than the sum of its proper divisors (21644648100).

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

10638562860 is a wasteful number, since it uses less digits than its factorization.

10638562860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23647 (or 23642 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10638562860 in words is "ten billion, six hundred thirty-eight million, five hundred sixty-two thousand, eight hundred sixty".