52306722404352 has 864 divisors, whose sum is σ = 169756354862640. Its totient is φ = 16016818176000.

The previous prime is 52306722404351. The next prime is 52306722404383. The reversal of 52306722404352 is 25340422760325.

52306722404352 is a `hidden beast` number, since 5 + 2 + 306 + 72 + 240 + 4 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 52306722404298 and 52306722404307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52306722404351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43844695468 + ... + 43844696660.

Almost surely, 2^{52306722404352} is an apocalyptic number.

52306722404352 is a gapful number since it is divisible by the number (52) 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 52306722404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84878177431320).

52306722404352 is an abundant number, since it is smaller than the sum of its proper divisors (117449632458288).

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

52306722404352 is an equidigital number, since it uses as much as digits as its factorization.

52306722404352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 52306722404352 in words is "fifty-two trillion, three hundred six billion, seven hundred twenty-two million, four hundred four thousand, three hundred fifty-two".