20904998400 has 1440 divisors, whose sum is σ = 93087042048. Its totient is φ = 4578508800.

The previous prime is 20904998383. The next prime is 20904998417. The reversal of 20904998400 is 489940902.

It is an interprime number because it is at equal distance from previous prime (20904998383) and next prime (20904998417).

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 444787177 + ... + 444787223.

Almost surely, 2^20904998400 is an apocalyptic number.

20904998400 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 20904998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46543521024).

20904998400 is an abundant number, since it is smaller than the sum of its proper divisors (72182043648).

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

20904998400 is a wasteful number, since it uses less digits than its factorization.

20904998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 20904998400 in words is "twenty billion, nine hundred four million, nine hundred ninety-eight thousand, four hundred".