116145027398400 has 5184 divisors, whose sum is σ = 568027524911616. Its totient is φ = 20462174208000.

The previous prime is 116145027398377. The next prime is 116145027398429. The reversal of 116145027398400 is 4893720541611.

116145027398400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 98344645810 + ... + 98344646990.

It is an arithmetic number, because the mean of its divisors is an integer number (109573210824).

It is a 1-persistent number, because it is pandigital, but 2⋅116145027398400 = 232290054796800 is not.

Almost surely, 2^{116145027398400} is an apocalyptic number.

116145027398400 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 116145027398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284013762455808).

116145027398400 is an abundant number, since it is smaller than the sum of its proper divisors (451882497513216).

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

116145027398400 is a wasteful number, since it uses less digits than its factorization.

116145027398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 116145027398400 in words is "one hundred sixteen trillion, one hundred forty-five billion, twenty-seven million, three hundred ninety-eight thousand, four hundred".