21625672481280 has 1440 divisors, whose sum is σ = 90585435036096. Its totient is φ = 4930170126336.

The previous prime is 21625672481227. The next prime is 21625672481321. The reversal of 21625672481280 is 8218427652612.

21625672481280 is a `hidden beast` number, since 2 + 1 + 6 + 25 + 67 + 2 + 481 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 16673609592 + ... + 16673610888.

Almost surely, 2^{21625672481280} is an apocalyptic number.

21625672481280 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 21625672481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45292717518048).

21625672481280 is an abundant number, since it is smaller than the sum of its proper divisors (68959762554816).

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

21625672481280 is an equidigital number, since it uses as much as digits as its factorization.

21625672481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 21625672481280 in words is "twenty-one trillion, six hundred twenty-five billion, six hundred seventy-two million, four hundred eighty-one thousand, two hundred eighty".