21898032998400 has 720 divisors, whose sum is σ = 87344758601100. Its totient is φ = 5390271774720.

The previous prime is 21898032998399. The next prime is 21898032998447. The reversal of 21898032998400 is 489923089812.

It is a happy number.

21898032998400 is a `hidden beast` number, since 2 + 189 + 8 + 0 + 329 + 98 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11476809409536 + 10421223588864 = 3387744^2 + 3228192^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53710516 + ... + 54116684.

Almost surely, 2^{21898032998400} is an apocalyptic number.

21898032998400 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 21898032998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43672379300550).

21898032998400 is an abundant number, since it is smaller than the sum of its proper divisors (65446725602700).

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

21898032998400 is a wasteful number, since it uses less digits than its factorization.

21898032998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406226 (or 406192 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 21898032998400 in words is "twenty-one trillion, eight hundred ninety-eight billion, thirty-two million, nine hundred ninety-eight thousand, four hundred".