21302837478720 has 1512 divisors, whose sum is σ = 88434625289400. Its totient is φ = 4692427407360.

The previous prime is 21302837478691. The next prime is 21302837478721. The reversal of 21302837478720 is 2787473820312.

21302837478720 is a `hidden beast` number, since 2 + 130 + 2 + 8 + 37 + 478 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 19697832274176 + 1605005204544 = 4438224^2 + 1266888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302837478721) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 21112821576 + ... + 21112822584.

Almost surely, 2^{21302837478720} is an apocalyptic number.

21302837478720 is a gapful number since it is divisible by the number (20) 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 21302837478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44217312644700).

21302837478720 is an abundant number, since it is smaller than the sum of its proper divisors (67131787810680).

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

21302837478720 is a wasteful number, since it uses less digits than its factorization.

21302837478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 21302837478720 in words is "twenty-one trillion, three hundred two billion, eight hundred thirty-seven million, four hundred seventy-eight thousand, seven hundred twenty".