21145590576 has 240 divisors, whose sum is σ = 66537982368. Its totient is φ = 6212505600.

The previous prime is 21145590553. The next prime is 21145590629. The reversal of 21145590576 is 67509554112.

It is a happy number.

21145590576 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 5 + 590 + 57 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24673540 + ... + 24674396.

Almost surely, 2^21145590576 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 21145590576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33268991184).

21145590576 is an abundant number, since it is smaller than the sum of its proper divisors (45392391792).

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

21145590576 is a wasteful number, since it uses less digits than its factorization.

21145590576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 21145590576 in words is "twenty-one billion, one hundred forty-five million, five hundred ninety thousand, five hundred seventy-six".