21580913755632 has 640 divisors, whose sum is σ = 71888838819840. Its totient is φ = 5417274240000.

The previous prime is 21580913755603. The next prime is 21580913755649. The reversal of 21580913755632 is 23655731908512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3818952007 + ... + 3818957657.

It is an arithmetic number, because the mean of its divisors is an integer number (112326310656).

Almost surely, 2^{21580913755632} is an apocalyptic number.

21580913755632 is a gapful number since it is divisible by the number (22) 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 21580913755632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35944419409920).

21580913755632 is an abundant number, since it is smaller than the sum of its proper divisors (50307925064208).

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

21580913755632 is a wasteful number, since it uses less digits than its factorization.

21580913755632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 21580913755632 in words is "twenty-one trillion, five hundred eighty billion, nine hundred thirteen million, seven hundred fifty-five thousand, six hundred thirty-two".