52816458633120 has 2304 divisors, whose sum is σ = 234367252761600. Its totient is φ = 11010557214720.

The previous prime is 52816458633109. The next prime is 52816458633167. The reversal of 52816458633120 is 2133685461825.

52816458633120 is a `hidden beast` number, since 5 + 2 + 8 + 1 + 6 + 4 + 586 + 3 + 31 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 129135595476 + ... + 129135595884.

It is an arithmetic number, because the mean of its divisors is an integer number (101721897900).

Almost surely, 2^{52816458633120} 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 52816458633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117183626380800).

52816458633120 is an abundant number, since it is smaller than the sum of its proper divisors (181550794128480).

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

52816458633120 is a wasteful number, since it uses less digits than its factorization.

52816458633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 52816458633120 in words is "fifty-two trillion, eight hundred sixteen billion, four hundred fifty-eight million, six hundred thirty-three thousand, one hundred twenty".