52038689940000 has 720 divisors, whose sum is σ = 191111836779864. Its totient is φ = 13418496000000.

The previous prime is 52038689939969. The next prime is 52038689940053. The reversal of 52038689940000 is 4998683025.

52038689940000 is a `hidden beast` number, since 520 + 38 + 6 + 89 + 9 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 35511635578896 + 16527054361104 = 5959164^2 + 4065348^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 833908800 + ... + 833971200.

Almost surely, 2^{52038689940000} is an apocalyptic number.

52038689940000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52038689940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95555918389932).

52038689940000 is an abundant number, since it is smaller than the sum of its proper divisors (139073146839864).

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

52038689940000 is a wasteful number, since it uses less digits than its factorization.

52038689940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62591 (or 62565 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 52038689940000 in words is "fifty-two trillion, thirty-eight billion, six hundred eighty-nine million, nine hundred forty thousand".