59394834104320 has 1088 divisors, whose sum is σ = 173129481907200. Its totient is φ = 19274504601600.

The previous prime is 59394834104279. The next prime is 59394834104429. The reversal of 59394834104320 is 2340143849395.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328148254630 + ... + 328148254810.

Almost surely, 2^{59394834104320} 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 59394834104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86564740953600).

59394834104320 is an abundant number, since it is smaller than the sum of its proper divisors (113734647802880).

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

59394834104320 is a wasteful number, since it uses less digits than its factorization.

59394834104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 59394834104320 in words is "fifty-nine trillion, three hundred ninety-four billion, eight hundred thirty-four million, one hundred four thousand, three hundred twenty".