52724829977600 has 528 divisors, whose sum is σ = 146774639869440. Its totient is φ = 18610377523200.

The previous prime is 52724829977549. The next prime is 52724829977621. The reversal of 52724829977600 is 677992842725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4574023037 + ... + 4574034563.

It is an arithmetic number, because the mean of its divisors is an integer number (277982272480).

Almost surely, 2^{52724829977600} is an apocalyptic number.

52724829977600 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 52724829977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73387319934720).

52724829977600 is an abundant number, since it is smaller than the sum of its proper divisors (94049809891840).

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

52724829977600 is a wasteful number, since it uses less digits than its factorization.

52724829977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12044 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 68.

The spelling of 52724829977600 in words is "fifty-two trillion, seven hundred twenty-four billion, eight hundred twenty-nine million, nine hundred seventy-seven thousand, six hundred".