20776045824 has 432 divisors, whose sum is σ = 65915566080. Its totient is φ = 6270566400.

The previous prime is 20776045781. The next prime is 20776045847. The reversal of 20776045824 is 42854067702.

It is a happy number.

20776045824 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 60 + 4 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20776045824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163590849 + ... + 163590975.

Almost surely, 2^20776045824 is an apocalyptic number.

20776045824 is a gapful number since it is divisible by the number (24) 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 20776045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32957783040).

20776045824 is an abundant number, since it is smaller than the sum of its proper divisors (45139520256).

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

20776045824 is a wasteful number, since it uses less digits than its factorization.

20776045824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 20776045824 in words is "twenty billion, seven hundred seventy-six million, forty-five thousand, eight hundred twenty-four".