52619398110048 has 1152 divisors, whose sum is σ = 187307276083200. Its totient is φ = 12819049528320.

The previous prime is 52619398110011. The next prime is 52619398110061. The reversal of 52619398110048 is 84001189391625.

It is a happy number.

52619398110048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 52619398110048.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 13467978111 + ... + 13467982017.

It is an arithmetic number, because the mean of its divisors is an integer number (162593121600).

Almost surely, 2^{52619398110048} 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 52619398110048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93653638041600).

52619398110048 is an abundant number, since it is smaller than the sum of its proper divisors (134687877973152).

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

52619398110048 is a wasteful number, since it uses less digits than its factorization.

52619398110048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 52619398110048 in words is "fifty-two trillion, six hundred nineteen billion, three hundred ninety-eight million, one hundred ten thousand, forty-eight".