21730887360 has 1344 divisors, whose sum is σ = 99160169472. Its totient is φ = 4407312384.

The previous prime is 21730887307. The next prime is 21730887383. The reversal of 21730887360 is 6378803712.

21730887360 is a `hidden beast` number, since 217 + 308 + 8 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 261817879 + ... + 261817961.

It is an arithmetic number, because the mean of its divisors is an integer number (73779888).

Almost surely, 2^21730887360 is an apocalyptic number.

21730887360 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 21730887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49580084736).

21730887360 is an abundant number, since it is smaller than the sum of its proper divisors (77429282112).

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

21730887360 is a wasteful number, since it uses less digits than its factorization.

21730887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 21730887360 in words is "twenty-one billion, seven hundred thirty million, eight hundred eighty-seven thousand, three hundred sixty".