21058045632 has 448 divisors, whose sum is σ = 68862366720. Its totient is φ = 6348948480.

The previous prime is 21058045559. The next prime is 21058045633. The reversal of 21058045632 is 23654085012.

21058045632 is a `hidden beast` number, since 2 + 1 + 0 + 580 + 45 + 6 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21058045633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129190383 + ... + 129190545.

It is an arithmetic number, because the mean of its divisors is an integer number (153710640).

Almost surely, 2^21058045632 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 21058045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34431183360).

21058045632 is an abundant number, since it is smaller than the sum of its proper divisors (47804321088).

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

21058045632 is an equidigital number, since it uses as much as digits as its factorization.

21058045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 21058045632 in words is "twenty-one billion, fifty-eight million, forty-five thousand, six hundred thirty-two".