52088993440 has 192 divisors, whose sum is σ = 136216080000. Its totient is φ = 18665902080.

The previous prime is 52088993419. The next prime is 52088993443. The reversal of 52088993440 is 4439988025.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (52088993443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36450646 + ... + 36452074.

It is an arithmetic number, because the mean of its divisors is an integer number (709458750).

Almost surely, 2^52088993440 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 52088993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040000).

52088993440 is an abundant number, since it is smaller than the sum of its proper divisors (84127086560).

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

52088993440 is a wasteful number, since it uses less digits than its factorization.

52088993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 52088993440 in words is "fifty-two billion, eighty-eight million, nine hundred ninety-three thousand, four hundred forty".