21760056000 has 224 divisors, whose sum is σ = 79836020160. Its totient is φ = 5802624000.

The previous prime is 21760055983. The next prime is 21760056029. The reversal of 21760056000 is 65006712.

21760056000 is a `hidden beast` number, since 2 + 1 + 7 + 600 + 56 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 165630 + ... + 266370.

Almost surely, 2^21760056000 is an apocalyptic number.

21760056000 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 21760056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39918010080).

21760056000 is an abundant number, since it is smaller than the sum of its proper divisors (58075964160).

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

21760056000 is a wasteful number, since it uses less digits than its factorization.

21760056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100777 (or 100751 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 21760056000 in words is "twenty-one billion, seven hundred sixty million, fifty-six thousand".