21755663160 has 256 divisors, whose sum is σ = 82122163200. Its totient is φ = 4478976000.

The previous prime is 21755663129. The next prime is 21755663173. The reversal of 21755663160 is 6136655712.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 996360 + ... + 1017960.

It is an arithmetic number, because the mean of its divisors is an integer number (320789700).

Almost surely, 2^21755663160 is an apocalyptic number.

21755663160 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 21755663160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41061081600).

21755663160 is an abundant number, since it is smaller than the sum of its proper divisors (60366500040).

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

21755663160 is a wasteful number, since it uses less digits than its factorization.

21755663160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21742 (or 21738 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 21755663160 in words is "twenty-one billion, seven hundred fifty-five million, six hundred sixty-three thousand, one hundred sixty".