21132842092830 has 128 divisors (see below), whose sum is σ = 60712004183040. Its totient is φ = 5199974651520.

The previous prime is 21132842092811. The next prime is 21132842092841. The reversal of 21132842092830 is 3829024823112.

21132842092830 is a `hidden beast` number, since 2 + 1 + 1 + 328 + 42 + 0 + 9 + 283 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 8216685 + ... + 10477575.

It is an arithmetic number, because the mean of its divisors is an integer number (474312532680).

Almost surely, 2^{21132842092830} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21132842092830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30356002091520).

21132842092830 is an abundant number, since it is smaller than the sum of its proper divisors (39579162090210).

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

21132842092830 is a wasteful number, since it uses less digits than its factorization.

21132842092830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263583 (or 2263577 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 21132842092830 in words is "twenty-one trillion, one hundred thirty-two billion, eight hundred forty-two million, ninety-two thousand, eight hundred thirty".