21576580632 has 128 divisors (see below), whose sum is σ = 60397747200. Its totient is φ = 7136899200.

The previous prime is 21576580631. The next prime is 21576580643. The reversal of 21576580632 is 23608567512.

21576580632 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 6 + 5 + 8 + 0 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21576580631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21132282 + ... + 21133302.

It is an arithmetic number, because the mean of its divisors is an integer number (471857400).

Almost surely, 2^21576580632 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 21576580632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30198873600).

21576580632 is an abundant number, since it is smaller than the sum of its proper divisors (38821166568).

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

21576580632 is a wasteful number, since it uses less digits than its factorization.

21576580632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 21576580632 in words is "twenty-one billion, five hundred seventy-six million, five hundred eighty thousand, six hundred thirty-two".