116128958400 has 1512 divisors, whose sum is σ = 542186128224. Its totient is φ = 23003136000.

The previous prime is 116128958359. The next prime is 116128958401. The reversal of 116128958400 is 4859821611.

It is a happy number.

116128958400 is a `hidden beast` number, since 1 + 1 + 61 + 2 + 8 + 9 + 584 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116128958401) 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 215 ways as a sum of consecutive naturals, for example, 289598200 + ... + 289598600.

Almost surely, 2^116128958400 is an apocalyptic number.

116128958400 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 116128958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271093064112).

116128958400 is an abundant number, since it is smaller than the sum of its proper divisors (426057169824).

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

116128958400 is a wasteful number, since it uses less digits than its factorization.

116128958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 116128958400 in words is "one hundred sixteen billion, one hundred twenty-eight million, nine hundred fifty-eight thousand, four hundred".