116271388800 has 288 divisors, whose sum is σ = 474152777280. Its totient is φ = 26576271360.

The previous prime is 116271388789. The next prime is 116271388847. The reversal of 116271388800 is 8883172611.

It is a happy number.

116271388800 is a `hidden beast` number, since 1 + 1 + 627 + 13 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86772 + ... + 489971.

It is an arithmetic number, because the mean of its divisors is an integer number (1646363810).

Almost surely, 2^116271388800 is an apocalyptic number.

116271388800 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 116271388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237076388640).

116271388800 is an abundant number, since it is smaller than the sum of its proper divisors (357881388480).

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

116271388800 is a wasteful number, since it uses less digits than its factorization.

116271388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576780 (or 576760 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 116271388800 in words is "one hundred sixteen billion, two hundred seventy-one million, three hundred eighty-eight thousand, eight hundred".