116229259238400 has 7128 divisors, whose sum is σ = 584713429139840. Its totient is φ = 22348298649600.

The previous prime is 116229259238207. The next prime is 116229259238401. The reversal of 116229259238400 is 4832952922611.

116229259238400 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 2 + 9 + 2 + 592 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116229259238401) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 2703006028779 + ... + 2703006028821.

Almost surely, 2^{116229259238400} is an apocalyptic number.

116229259238400 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 116229259238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292356714569920).

116229259238400 is an abundant number, since it is smaller than the sum of its proper divisors (468484169901440).

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

116229259238400 is an equidigital number, since it uses as much as digits as its factorization.

116229259238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 116229259238400 in words is "one hundred sixteen trillion, two hundred twenty-nine billion, two hundred fifty-nine million, two hundred thirty-eight thousand, four hundred".