21875220692640 has 432 divisors, whose sum is σ = 86849409858120. Its totient is φ = 4999325184000.

The previous prime is 21875220692599. The next prime is 21875220692659. The reversal of 21875220692640 is 4629602257812.

21875220692640 is a `hidden beast` number, since 2 + 18 + 7 + 522 + 0 + 69 + 2 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10827600843024 + 11047619849616 = 3290532^2 + 3323796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 599812326 + ... + 599848794.

Almost surely, 2^{21875220692640} is an apocalyptic number.

21875220692640 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 21875220692640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43424704929060).

21875220692640 is an abundant number, since it is smaller than the sum of its proper divisors (64974189165480).

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

21875220692640 is a wasteful number, since it uses less digits than its factorization.

21875220692640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45005 (or 44987 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 21875220692640 in words is "twenty-one trillion, eight hundred seventy-five billion, two hundred twenty million, six hundred ninety-two thousand, six hundred forty".