52093827717120 has 960 divisors, whose sum is σ = 214278739234560. Its totient is φ = 11906838134784.

The previous prime is 52093827717109. The next prime is 52093827717193. The reversal of 52093827717120 is 2171772839025.

52093827717120 is a `hidden beast` number, since 5 + 2 + 0 + 9 + 382 + 77 + 171 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1410858979 + ... + 1410895901.

It is an arithmetic number, because the mean of its divisors is an integer number (223207020036).

Almost surely, 2^{52093827717120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52093827717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107139369617280).

52093827717120 is an abundant number, since it is smaller than the sum of its proper divisors (162184911517440).

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

52093827717120 is an frugal number, since it uses more digits than its factorization.

52093827717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36984 (or 36940 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 52093827717120 in words is "fifty-two trillion, ninety-three billion, eight hundred twenty-seven million, seven hundred seventeen thousand, one hundred twenty".