21689825607792 has 240 divisors, whose sum is σ = 64938558353760. Its totient is φ = 6734149632000.

The previous prime is 21689825607773. The next prime is 21689825607797. The reversal of 21689825607792 is 29770652898612.

21689825607792 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 9 + 8 + 2 + 5 + 607 + 7 + 9 + 2 = 666.

It is a super-2 number, since 2×21689825607792² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 21689825607792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21689825607797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563953459 + ... + 563991917.

It is an arithmetic number, because the mean of its divisors is an integer number (270577326474).

Almost surely, 2^{21689825607792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21689825607792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32469279176880).

21689825607792 is an abundant number, since it is smaller than the sum of its proper divisors (43248732745968).

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

21689825607792 is a wasteful number, since it uses less digits than its factorization.

21689825607792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40872 (or 40863 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 21689825607792 in words is "twenty-one trillion, six hundred eighty-nine billion, eight hundred twenty-five million, six hundred seven thousand, seven hundred ninety-two".