21730010400 has 720 divisors, whose sum is σ = 91901930400. Its totient is φ = 4955005440.

The previous prime is 21730010389. The next prime is 21730010413. The reversal of 21730010400 is 401003712.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51861391 + ... + 51861809.

It is an arithmetic number, because the mean of its divisors is an integer number (127641570).

Almost surely, 2^21730010400 is an apocalyptic number.

21730010400 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 21730010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45950965200).

21730010400 is an abundant number, since it is smaller than the sum of its proper divisors (70171920000).

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

21730010400 is an equidigital number, since it uses as much as digits as its factorization.

21730010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The spelling of 21730010400 in words is "twenty-one billion, seven hundred thirty million, ten thousand, four hundred".