52452298684800 has 3456 divisors, whose sum is σ = 244314333120000. Its totient is φ = 10678913925120.

The previous prime is 52452298684733. The next prime is 52452298684837. The reversal of 52452298684800 is 848689225425.

52452298684800 is a `hidden beast` number, since 5 + 2 + 4 + 5 + 2 + 2 + 98 + 68 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 54242293917 + ... + 54242294883.

Almost surely, 2^{52452298684800} is an apocalyptic number.

52452298684800 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 52452298684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122157166560000).

52452298684800 is an abundant number, since it is smaller than the sum of its proper divisors (191862034435200).

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

52452298684800 is a wasteful number, since it uses less digits than its factorization.

52452298684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 52452298684800 in words is "fifty-two trillion, four hundred fifty-two billion, two hundred ninety-eight million, six hundred eighty-four thousand, eight hundred".