21630852360 has 480 divisors, whose sum is σ = 83219681160. Its totient is φ = 5008490496.

The previous prime is 21630852359. The next prime is 21630852371. The reversal of 21630852360 is 6325803612.

It is a happy number.

21630852360 is a `hidden beast` number, since 216 + 3 + 0 + 85 + 2 + 360 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3681819684 + 17949032676 = 60678^2 + 133974^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 12171792 + ... + 12173568.

Almost surely, 2^21630852360 is an apocalyptic number.

21630852360 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 21630852360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41609840580).

21630852360 is an abundant number, since it is smaller than the sum of its proper divisors (61588828800).

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

21630852360 is a wasteful number, since it uses less digits than its factorization.

21630852360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21630852360 in words is "twenty-one billion, six hundred thirty million, eight hundred fifty-two thousand, three hundred sixty".