52776558133248 has 90 divisors (see below), whose sum is σ = 140737488355324. Its totient is φ = 17592186044416.

The previous prime is 52776558133177. The next prime is 52776558133303. The reversal of 52776558133248 is 84233185567725.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)⁴¹.

Its product of digits (338688000) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 52776558133248 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17592186044415 + 17592186044416 + 17592186044417.

Almost surely, 2^{52776558133248} 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 52776558133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70368744177662).

52776558133248 is an abundant number, since it is smaller than the sum of its proper divisors (87960930222076).

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

52776558133248 is an frugal number, since it uses more digits than its factorization.

52776558133248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 5 counting only the distinct ones).

The product of its digits is 338688000, while the sum is 66.

The spelling of 52776558133248 in words is "fifty-two trillion, seven hundred seventy-six billion, five hundred fifty-eight million, one hundred thirty-three thousand, two hundred forty-eight".