53828560588320 has 1152 divisors, whose sum is σ = 231482139033600. Its totient is φ = 11531237179392.

The previous prime is 53828560588279. The next prime is 53828560588321. The reversal of 53828560588320 is 2388506582835.

53828560588320 is a `hidden beast` number, since 5 + 3 + 8 + 28 + 5 + 6 + 0 + 588 + 3 + 20 = 666.

53828560588320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (53828560588321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1105761741 + ... + 1105810419.

It is an arithmetic number, because the mean of its divisors is an integer number (200939356800).

Almost surely, 2^{53828560588320} 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 53828560588320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115741069516800).

53828560588320 is an abundant number, since it is smaller than the sum of its proper divisors (177653578445280).

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

53828560588320 is a wasteful number, since it uses less digits than its factorization.

53828560588320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48972 (or 48952 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 53828560588320 in words is "fifty-three trillion, eight hundred twenty-eight billion, five hundred sixty million, five hundred eighty-eight thousand, three hundred twenty".