21980774400 has 480 divisors, whose sum is σ = 80094352800. Its totient is φ = 5284823040.

The previous prime is 21980774383. The next prime is 21980774419. The reversal of 21980774400 is 447708912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511180779 + ... + 511180821.

It is an arithmetic number, because the mean of its divisors is an integer number (166863235).

Almost surely, 2^21980774400 is an apocalyptic number.

21980774400 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 21980774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40047176400).

21980774400 is an abundant number, since it is smaller than the sum of its proper divisors (58113578400).

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

21980774400 is an frugal number, since it uses more digits than its factorization.

21980774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 21980774400 in words is "twenty-one billion, nine hundred eighty million, seven hundred seventy-four thousand, four hundred".