53109859813920 has 4608 divisors, whose sum is σ = 255601059840000. Its totient is φ = 10205346816000.

The previous prime is 53109859813909. The next prime is 53109859813937. The reversal of 53109859813920 is 2931895890135.

53109859813920 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 9 + 8 + 598 + 1 + 39 + 2 + 0 = 666.

53109859813920 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 351720925845 + ... + 351720925995.

It is an arithmetic number, because the mean of its divisors is an integer number (55468980000).

Almost surely, 2^{53109859813920} 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 53109859813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127800529920000).

53109859813920 is an abundant number, since it is smaller than the sum of its proper divisors (202491200026080).

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

53109859813920 is a wasteful number, since it uses less digits than its factorization.

53109859813920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 53109859813920 in words is "fifty-three trillion, one hundred nine billion, eight hundred fifty-nine million, eight hundred thirteen thousand, nine hundred twenty".