21245664000 has 864 divisors, whose sum is σ = 81425111040. Its totient is φ = 4899840000.

The previous prime is 21245663981. The next prime is 21245664047. The reversal of 21245664000 is 46654212.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360095971 + ... + 360096029.

Almost surely, 2^21245664000 is an apocalyptic number.

21245664000 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 21245664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40712555520).

21245664000 is an abundant number, since it is smaller than the sum of its proper divisors (60179447040).

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

21245664000 is a wasteful number, since it uses less digits than its factorization.

21245664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 21245664000 in words is "twenty-one billion, two hundred forty-five million, six hundred sixty-four thousand".