21625567789980 has 768 divisors, whose sum is σ = 84364897075200. Its totient is φ = 3996022947840.

The previous prime is 21625567789967. The next prime is 21625567789981. The reversal of 21625567789980 is 8998776552612.

21625567789980 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21625567789980² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21625567789981) 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, 565547422 + ... + 565585658.

It is an arithmetic number, because the mean of its divisors is an integer number (109850126400).

Almost surely, 2^{21625567789980} is an apocalyptic number.

21625567789980 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 21625567789980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42182448537600).

21625567789980 is an abundant number, since it is smaller than the sum of its proper divisors (62739329285220).

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

21625567789980 is a wasteful number, since it uses less digits than its factorization.

21625567789980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38682 (or 38680 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 75.

The spelling of 21625567789980 in words is "twenty-one trillion, six hundred twenty-five billion, five hundred sixty-seven million, seven hundred eighty-nine thousand, nine hundred eighty".