21310553510010 has 112 divisors (see below), whose sum is σ = 57608210620800. Its totient is φ = 5673325937760.

The previous prime is 21310553509967. The next prime is 21310553510017. The reversal of 21310553510010 is 1001535501312.

21310553510010 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 553 + 5 + 100 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21310553510017) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1926595 + ... + 6806825.

It is an arithmetic number, because the mean of its divisors is an integer number (514359023400).

Almost surely, 2^{21310553510010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21310553510010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28804105310400).

21310553510010 is an abundant number, since it is smaller than the sum of its proper divisors (36297657110790).

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

21310553510010 is an equidigital number, since it uses as much as digits as its factorization.

21310553510010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880855 (or 4880840 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 21310553510010 in words is "twenty-one trillion, three hundred ten billion, five hundred fifty-three million, five hundred ten thousand, ten".