21372207749760 has 1024 divisors, whose sum is σ = 81578327040000. Its totient is φ = 4657683824640.

The previous prime is 21372207749719. The next prime is 21372207749777. The reversal of 21372207749760 is 6794770227312.

It is a self number, because there is not a number n which added to its sum of digits gives 21372207749760.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6108088491 + ... + 6108091989.

It is an arithmetic number, because the mean of its divisors is an integer number (79666335000).

Almost surely, 2^{21372207749760} is an apocalyptic number.

21372207749760 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 21372207749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40789163520000).

21372207749760 is an abundant number, since it is smaller than the sum of its proper divisors (60206119290240).

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

21372207749760 is a wasteful number, since it uses less digits than its factorization.

21372207749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 57.

The spelling of 21372207749760 in words is "twenty-one trillion, three hundred seventy-two billion, two hundred seven million, seven hundred forty-nine thousand, seven hundred sixty".