21712682880 has 512 divisors, whose sum is σ = 93063168000. Its totient is φ = 4670521344.

The previous prime is 21712682821. The next prime is 21712682911. The reversal of 21712682880 is 8828621712.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2051041 + ... + 2061599.

It is an arithmetic number, because the mean of its divisors is an integer number (181764000).

Almost surely, 2^21712682880 is an apocalyptic number.

21712682880 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 21712682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46531584000).

21712682880 is an abundant number, since it is smaller than the sum of its proper divisors (71350485120).

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

21712682880 is a wasteful number, since it uses less digits than its factorization.

21712682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10611 (or 10593 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 21712682880 in words is "twenty-one billion, seven hundred twelve million, six hundred eighty-two thousand, eight hundred eighty".