21979776000 has 1408 divisors, whose sum is σ = 97853543424. Its totient is φ = 4246732800.

The previous prime is 21979775981. The next prime is 21979776047. The reversal of 21979776000 is 67797912.

It is a super-2 number, since 2×21979776000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 594047982 + ... + 594048018.

Almost surely, 2^21979776000 is an apocalyptic number.

21979776000 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 21979776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48926771712).

21979776000 is an abundant number, since it is smaller than the sum of its proper divisors (75873767424).

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

21979776000 is a wasteful number, since it uses less digits than its factorization.

21979776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 48.

The spelling of 21979776000 in words is "twenty-one billion, nine hundred seventy-nine million, seven hundred seventy-six thousand".