52049141813760 has 1280 divisors, whose sum is σ = 208858152222720. Its totient is φ = 10765998489600.

The previous prime is 52049141813741. The next prime is 52049141813777. The reversal of 52049141813760 is 6731814194025.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×52049141813760² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7270445061 + ... + 7270452219.

It is an arithmetic number, because the mean of its divisors is an integer number (163170431424).

It is a 2-persistent number, because it is pandigital, and so is 2⋅52049141813760 = 104098283627520, but 3⋅52049141813760 = 156147425441280 is not.

Almost surely, 2^{52049141813760} 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 52049141813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104429076111360).

52049141813760 is an abundant number, since it is smaller than the sum of its proper divisors (156809010408960).

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

52049141813760 is a wasteful number, since it uses less digits than its factorization.

52049141813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 52049141813760 in words is "fifty-two trillion, forty-nine billion, one hundred forty-one million, eight hundred thirteen thousand, seven hundred sixty".