116575883078400 has 1728 divisors, whose sum is σ = 459383930880000. Its totient is φ = 28840843100160.

The previous prime is 116575883078387. The next prime is 116575883078407. The reversal of 116575883078400 is 4870388575611.

116575883078400 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 7 + 588 + 3 + 0 + 7 + 8 + 40 + 0 = 666.

116575883078400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (116575883078407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32940343831 + ... + 32940347369.

Almost surely, 2^{116575883078400} is an apocalyptic number.

116575883078400 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 116575883078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229691965440000).

116575883078400 is an abundant number, since it is smaller than the sum of its proper divisors (342808047801600).

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

116575883078400 is a wasteful number, since it uses less digits than its factorization.

116575883078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 116575883078400 in words is "one hundred sixteen trillion, five hundred seventy-five billion, eight hundred eighty-three million, seventy-eight thousand, four hundred".