59116557220800 has 672 divisors, whose sum is σ = 212101098946560. Its totient is φ = 14350619443200.

The previous prime is 59116557220781. The next prime is 59116557220829. The reversal of 59116557220800 is 802275561195.

It is a super-4 number, since 4×59116557220800⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5582821906 + ... + 5582832494.

Almost surely, 2^{59116557220800} is an apocalyptic number.

59116557220800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59116557220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106050549473280).

59116557220800 is an abundant number, since it is smaller than the sum of its proper divisors (152984541725760).

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

59116557220800 is a wasteful number, since it uses less digits than its factorization.

59116557220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12869 (or 12854 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 59116557220800 in words is "fifty-nine trillion, one hundred sixteen billion, five hundred fifty-seven million, two hundred twenty thousand, eight hundred".