21725192623680 has 3584 divisors, whose sum is σ = 104975577907200. Its totient is φ = 4100950425600.

The previous prime is 21725192623643. The next prime is 21725192623703. The reversal of 21725192623680 is 8632629152712.

21725192623680 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 5 + 1 + 9 + 2 + 623 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 19913099935 + ... + 19913101025.

It is an arithmetic number, because the mean of its divisors is an integer number (29290060800).

Almost surely, 2^{21725192623680} is an apocalyptic number.

21725192623680 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 21725192623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52487788953600).

21725192623680 is an abundant number, since it is smaller than the sum of its proper divisors (83250385283520).

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

21725192623680 is a wasteful number, since it uses less digits than its factorization.

21725192623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 21725192623680 in words is "twenty-one trillion, seven hundred twenty-five billion, one hundred ninety-two million, six hundred twenty-three thousand, six hundred eighty".