21980914560 has 864 divisors, whose sum is σ = 90300520440. Its totient is φ = 4885401600.

The previous prime is 21980914531. The next prime is 21980914573. The reversal of 21980914560 is 6541908912.

21980914560 is a `hidden beast` number, since 2 + 1 + 9 + 80 + 9 + 1 + 4 + 560 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 709061745 + ... + 709061775.

Almost surely, 2^21980914560 is an apocalyptic number.

21980914560 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 21980914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45150260220).

21980914560 is an abundant number, since it is smaller than the sum of its proper divisors (68319605880).

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

21980914560 is a wasteful number, since it uses less digits than its factorization.

21980914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 21980914560 in words is "twenty-one billion, nine hundred eighty million, nine hundred fourteen thousand, five hundred sixty".