52099073704800 has 2880 divisors, whose sum is σ = 218979528413184. Its totient is φ = 11976317337600.

The previous prime is 52099073704781. The next prime is 52099073704807. The reversal of 52099073704800 is 840737099025.

52099073704800 is a `hidden beast` number, since 5 + 2 + 0 + 9 + 90 + 7 + 3 + 70 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52099073704807) 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 479 ways as a sum of consecutive naturals, for example, 88754810107 + ... + 88754810693.

Almost surely, 2^{52099073704800} is an apocalyptic number.

52099073704800 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 52099073704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109489764206592).

52099073704800 is an abundant number, since it is smaller than the sum of its proper divisors (166880454708384).

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

52099073704800 is a wasteful number, since it uses less digits than its factorization.

52099073704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 52099073704800 in words is "fifty-two trillion, ninety-nine billion, seventy-three million, seven hundred four thousand, eight hundred".