52006993395840 has 576 divisors, whose sum is σ = 209293682359320. Its totient is φ = 11865305088000.

The previous prime is 52006993395803. The next prime is 52006993395869. The reversal of 52006993395840 is 4859339960025.

52006993395840 is a `hidden beast` number, since 5 + 20 + 0 + 69 + 93 + 395 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32227057364544 + 19779936031296 = 5676888^2 + 4447464^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 71 ways as a sum of consecutive naturals, for example, 152521540 + ... + 152862140.

Almost surely, 2^{52006993395840} 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 52006993395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104646841179660).

52006993395840 is an abundant number, since it is smaller than the sum of its proper divisors (157286688963480).

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

52006993395840 is a wasteful number, since it uses less digits than its factorization.

52006993395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341181 (or 341159 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 52006993395840 in words is "fifty-two trillion, six billion, nine hundred ninety-three million, three hundred ninety-five thousand, eight hundred forty".