21245568000 has 352 divisors, whose sum is σ = 71908457088. Its totient is φ = 5566464000.

The previous prime is 21245567989. The next prime is 21245568037. The reversal of 21245568000 is 86554212.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 23423547 + ... + 23424453.

Almost surely, 2^21245568000 is an apocalyptic number.

21245568000 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 21245568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35954228544).

21245568000 is an abundant number, since it is smaller than the sum of its proper divisors (50662889088).

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

21245568000 is an equidigital number, since it uses as much as digits as its factorization.

21245568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 21245568000 in words is "twenty-one billion, two hundred forty-five million, five hundred sixty-eight thousand".