21899354400 has 1944 divisors, whose sum is σ = 107785445040. Its totient is φ = 4311014400.

The previous prime is 21899354363. The next prime is 21899354401. The reversal of 21899354400 is 445399812.

21899354400 is a `hidden beast` number, since 2 + 18 + 9 + 93 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21899354401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1152597591 + ... + 1152597609.

Almost surely, 2^21899354400 is an apocalyptic number.

21899354400 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 21899354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53892722520).

21899354400 is an abundant number, since it is smaller than the sum of its proper divisors (85886090640).

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

21899354400 is a wasteful number, since it uses less digits than its factorization.

21899354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 21899354400 in words is "twenty-one billion, eight hundred ninety-nine million, three hundred fifty-four thousand, four hundred".