21241656000 has 448 divisors, whose sum is σ = 79780546560. Its totient is φ = 5530291200.

The previous prime is 21241655999. The next prime is 21241656019. The reversal of 21241656000 is 65614212.

21241656000 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 656 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9286857 + ... + 9289143.

Almost surely, 2^21241656000 is an apocalyptic number.

21241656000 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 21241656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39890273280).

21241656000 is an abundant number, since it is smaller than the sum of its proper divisors (58538890560).

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

21241656000 is a wasteful number, since it uses less digits than its factorization.

21241656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 21241656000 in words is "twenty-one billion, two hundred forty-one million, six hundred fifty-six thousand".