52109649276048 has 1920 divisors, whose sum is σ = 200643371335680. Its totient is φ = 12710594856960.

The previous prime is 52109649276017. The next prime is 52109649276071. The reversal of 52109649276048 is 84067294690125.

52109649276048 is a `hidden beast` number, since 5 + 2 + 10 + 9 + 6 + 4 + 9 + 2 + 7 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57200492713 + ... + 57200493623.

It is an arithmetic number, because the mean of its divisors is an integer number (104501755904).

Almost surely, 2^{52109649276048} 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 52109649276048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100321685667840).

52109649276048 is an abundant number, since it is smaller than the sum of its proper divisors (148533722059632).

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

52109649276048 is a wasteful number, since it uses less digits than its factorization.

52109649276048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 52109649276048 in words is "fifty-two trillion, one hundred nine billion, six hundred forty-nine million, two hundred seventy-six thousand, forty-eight".