21801577080 has 256 divisors, whose sum is σ = 70295040000. Its totient is φ = 5397073920.

The previous prime is 21801577079. The next prime is 21801577139. The reversal of 21801577080 is 8077510812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19309956 + ... + 19311084.

It is an arithmetic number, because the mean of its divisors is an integer number (274590000).

Almost surely, 2^21801577080 is an apocalyptic number.

21801577080 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 21801577080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35147520000).

21801577080 is an abundant number, since it is smaller than the sum of its proper divisors (48493462920).

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

21801577080 is a wasteful number, since it uses less digits than its factorization.

21801577080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 39.

The spelling of 21801577080 in words is "twenty-one billion, eight hundred one million, five hundred seventy-seven thousand, eighty".