21653733506260 has 768 divisors, whose sum is σ = 54960260382720. Its totient is φ = 7108383744000.

The previous prime is 21653733506239. The next prime is 21653733506267. The reversal of 21653733506260 is 6260533735612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21653733506267) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 65419134295 + ... + 65419134625.

It is an arithmetic number, because the mean of its divisors is an integer number (71562839040).

Almost surely, 2^{21653733506260} is an apocalyptic number.

21653733506260 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 21653733506260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480130191360).

21653733506260 is an abundant number, since it is smaller than the sum of its proper divisors (33306526876460).

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

21653733506260 is a wasteful number, since it uses less digits than its factorization.

21653733506260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 49.

The spelling of 21653733506260 in words is "twenty-one trillion, six hundred fifty-three billion, seven hundred thirty-three million, five hundred six thousand, two hundred sixty".