21727377760 has 192 divisors, whose sum is σ = 57610828800. Its totient is φ = 7676416000.

The previous prime is 21727377647. The next prime is 21727377803. The reversal of 21727377760 is 6777372712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9240585 + ... + 9242935.

It is an arithmetic number, because the mean of its divisors is an integer number (300056400).

Almost surely, 2^21727377760 is an apocalyptic number.

21727377760 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 21727377760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28805414400).

21727377760 is an abundant number, since it is smaller than the sum of its proper divisors (35883451040).

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

21727377760 is a wasteful number, since it uses less digits than its factorization.

21727377760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 1210104, while the sum is 49.

The spelling of 21727377760 in words is "twenty-one billion, seven hundred twenty-seven million, three hundred seventy-seven thousand, seven hundred sixty".