52009034759440 has 320 divisors, whose sum is σ = 133869244320000. Its totient is φ = 18634530816000.

The previous prime is 52009034759401. The next prime is 52009034759459. The reversal of 52009034759440 is 4495743090025.

It is a super-2 number, since 2×52009034759440² (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 63 ways as a sum of consecutive naturals, for example, 12844906536 + ... + 12844910584.

It is an arithmetic number, because the mean of its divisors is an integer number (418341388500).

Almost surely, 2^{52009034759440} 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 52009034759440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66934622160000).

52009034759440 is an abundant number, since it is smaller than the sum of its proper divisors (81860209560560).

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

52009034759440 is a wasteful number, since it uses less digits than its factorization.

52009034759440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 52009034759440 in words is "fifty-two trillion, nine billion, thirty-four million, seven hundred fifty-nine thousand, four hundred forty".