52776784800 has 216 divisors, whose sum is σ = 186482712780. Its totient is φ = 14045184000.

The previous prime is 52776784759. The next prime is 52776784813. The reversal of 52776784800 is 848767725.

It is a happy number.

52776784800 is a `hidden beast` number, since 5 + 27 + 76 + 78 + 480 + 0 = 666.

52776784800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 45742943376 + 7033841424 = 213876^2 + 83868^2 .

It is a super-2 number, since 2×52776784800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3657600 + ... + 3672000.

Almost surely, 2^52776784800 is an apocalyptic number.

52776784800 is a gapful number since it is divisible by the number (50) 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 52776784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93241356390).

52776784800 is an abundant number, since it is smaller than the sum of its proper divisors (133705927980).

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

52776784800 is a wasteful number, since it uses less digits than its factorization.

52776784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14936 (or 14920 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 52776784800 in words is "fifty-two billion, seven hundred seventy-six million, seven hundred eighty-four thousand, eight hundred".