21132290520 has 384 divisors, whose sum is σ = 80102131200. Its totient is φ = 4779878400.

The previous prime is 21132290489. The next prime is 21132290527. The reversal of 21132290520 is 2509223112.

It is a happy number.

21132290520 is a `hidden beast` number, since 2 + 1 + 132 + 2 + 9 + 0 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132290527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3731451 + ... + 3737109.

It is an arithmetic number, because the mean of its divisors is an integer number (208599300).

Almost surely, 2^21132290520 is an apocalyptic number.

21132290520 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 21132290520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40051065600).

21132290520 is an abundant number, since it is smaller than the sum of its proper divisors (58969840680).

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

21132290520 is a wasteful number, since it uses less digits than its factorization.

21132290520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5751 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 21132290520 in words is "twenty-one billion, one hundred thirty-two million, two hundred ninety thousand, five hundred twenty".