21730400899200 has 576 divisors, whose sum is σ = 88660709280000. Its totient is φ = 4964446126080.

The previous prime is 21730400899199. The next prime is 21730400899219. The reversal of 21730400899200 is 299800403712.

21730400899200 is a `hidden beast` number, since 2 + 1 + 7 + 30 + 400 + 8 + 9 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 415874676 + ... + 415926924.

It is an arithmetic number, because the mean of its divisors is an integer number (153924842500).

Almost surely, 2^{21730400899200} is an apocalyptic number.

21730400899200 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 21730400899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44330354640000).

21730400899200 is an abundant number, since it is smaller than the sum of its proper divisors (66930308380800).

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

21730400899200 is a wasteful number, since it uses less digits than its factorization.

21730400899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54349 (or 54329 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21730400899200 in words is "twenty-one trillion, seven hundred thirty billion, four hundred million, eight hundred ninety-nine thousand, two hundred".