52675805677248 has 560 divisors, whose sum is σ = 178128997421760. Its totient is φ = 15247819800576.

The previous prime is 52675805677139. The next prime is 52675805677279. The reversal of 52675805677248 is 84277650857625.

It is a happy number.

52675805677248 is a `hidden beast` number, since 5 + 2 + 6 + 7 + 58 + 0 + 567 + 7 + 2 + 4 + 8 = 666.

52675805677248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2989028565 + ... + 2989046187.

It is an arithmetic number, because the mean of its divisors is an integer number (318087495396).

Almost surely, 2^{52675805677248} 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 52675805677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89064498710880).

52675805677248 is an abundant number, since it is smaller than the sum of its proper divisors (125453191744512).

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

52675805677248 is a wasteful number, since it uses less digits than its factorization.

52675805677248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20286 (or 20267 counting only the distinct ones).

The product of its (nonzero) digits is 1580544000, while the sum is 72.

The spelling of 52675805677248 in words is "fifty-two trillion, six hundred seventy-five billion, eight hundred five million, six hundred seventy-seven thousand, two hundred forty-eight".