116425572278400 has 2304 divisors, whose sum is σ = 553857719051520. Its totient is φ = 22543073280000.

The previous prime is 116425572278387. The next prime is 116425572278401. The reversal of 116425572278400 is 4872275524611.

116425572278400 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 2 + 5 + 5 + 7 + 227 + 8 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (116425572278401) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 3807603912 + ... + 3807634488.

It is an arithmetic number, because the mean of its divisors is an integer number (240389635005).

Almost surely, 2^{116425572278400} is an apocalyptic number.

116425572278400 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 116425572278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276928859525760).

116425572278400 is an abundant number, since it is smaller than the sum of its proper divisors (437432146773120).

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

116425572278400 is a wasteful number, since it uses less digits than its factorization.

116425572278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30743 (or 30723 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 116425572278400 in words is "one hundred sixteen trillion, four hundred twenty-five billion, five hundred seventy-two million, two hundred seventy-eight thousand, four hundred".