52624623727200 has 864 divisors, whose sum is σ = 211344653326464. Its totient is φ = 11301389352960.

The previous prime is 52624623727069. The next prime is 52624623727241. The reversal of 52624623727200 is 272732642625.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 52624623727200.

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 143 ways as a sum of consecutive naturals, for example, 1173507979 + ... + 1173552821.

It is an arithmetic number, because the mean of its divisors is an integer number (244611867276).

Almost surely, 2^{52624623727200} is an apocalyptic number.

52624623727200 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 52624623727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105672326663232).

52624623727200 is an abundant number, since it is smaller than the sum of its proper divisors (158720029599264).

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

52624623727200 is a wasteful number, since it uses less digits than its factorization.

52624623727200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45484 (or 45464 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 52624623727200 in words is "fifty-two trillion, six hundred twenty-four billion, six hundred twenty-three million, seven hundred twenty-seven thousand, two hundred".