116054561095200 has 4032 divisors, whose sum is σ = 563322377060352. Its totient is φ = 22658691686400.

The previous prime is 116054561095163. The next prime is 116054561095211. The reversal of 116054561095200 is 2590165450611.

116054561095200 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 5 + 4 + 5 + 610 + 9 + 5 + 20 + 0 = 666.

It is a super-2 number, since 2×116054561095200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 37839764067 + ... + 37839767133.

It is an arithmetic number, because the mean of its divisors is an integer number (139712891136).

Almost surely, 2^{116054561095200} is an apocalyptic number.

116054561095200 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 116054561095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281661188530176).

116054561095200 is an abundant number, since it is smaller than the sum of its proper divisors (447267815965152).

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

116054561095200 is a wasteful number, since it uses less digits than its factorization.

116054561095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 116054561095200 in words is "one hundred sixteen trillion, fifty-four billion, five hundred sixty-one million, ninety-five thousand, two hundred".