21989078400 has 384 divisors, whose sum is σ = 77870194560. Its totient is φ = 5433753600.

The previous prime is 21989078399. The next prime is 21989078437. The reversal of 21989078400 is 487098912.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 21989078400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10933395 + ... + 10935405.

It is an arithmetic number, because the mean of its divisors is an integer number (202786965).

Almost surely, 2^21989078400 is an apocalyptic number.

21989078400 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 21989078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38935097280).

21989078400 is an abundant number, since it is smaller than the sum of its proper divisors (55881116160).

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

21989078400 is a wasteful number, since it uses less digits than its factorization.

21989078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 21989078400 in words is "twenty-one billion, nine hundred eighty-nine million, seventy-eight thousand, four hundred".