10221900624 has 400 divisors, whose sum is σ = 34199217360. Its totient is φ = 2919628800.

The previous prime is 10221900587. The next prime is 10221900631. The reversal of 10221900624 is 42600912201.

10221900624 is a `hidden beast` number, since 1 + 0 + 22 + 19 + 0 + 0 + 624 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 169833024 + 10052067600 = 13032^2 + 100260^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25490824 + ... + 25491224.

Almost surely, 2^10221900624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221900624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17099608680).

10221900624 is an abundant number, since it is smaller than the sum of its proper divisors (23977316736).

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

10221900624 is a wasteful number, since it uses less digits than its factorization.

10221900624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10221900624 in words is "ten billion, two hundred twenty-one million, nine hundred thousand, six hundred twenty-four".