116572259731200 has 3888 divisors, whose sum is σ = 509132339444736. Its totient is φ = 23380387430400.

The previous prime is 116572259731157. The next prime is 116572259731211. The reversal of 116572259731200 is 2137952275611.

116572259731200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×116572259731200³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 330233030224 + ... + 330233030576.

Almost surely, 2^{116572259731200} is an apocalyptic number.

116572259731200 is a gapful number since it is divisible by the number (10) 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 116572259731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254566169722368).

116572259731200 is an abundant number, since it is smaller than the sum of its proper divisors (392560079713536).

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

116572259731200 is a wasteful number, since it uses less digits than its factorization.

116572259731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 116572259731200 in words is "one hundred sixteen trillion, five hundred seventy-two billion, two hundred fifty-nine million, seven hundred thirty-one thousand, two hundred".