21080376576 has 576 divisors, whose sum is σ = 78332620800. Its totient is φ = 5452406784.

The previous prime is 21080376547. The next prime is 21080376587. The reversal of 21080376576 is 67567308012.

21080376576 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 0 + 3 + 76 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 21143310 + ... + 21144306.

Almost surely, 2^21080376576 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 21080376576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39166310400).

21080376576 is an abundant number, since it is smaller than the sum of its proper divisors (57252244224).

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

21080376576 is a wasteful number, since it uses less digits than its factorization.

21080376576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 21080376576 in words is "twenty-one billion, eighty million, three hundred seventy-six thousand, five hundred seventy-six".