116638126080 has 1248 divisors, whose sum is σ = 479227757184. Its totient is φ = 24045944832.

The previous prime is 116638126067. The next prime is 116638126103. The reversal of 116638126080 is 80621836611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2200719334 + ... + 2200719386.

Almost surely, 2^116638126080 is an apocalyptic number.

116638126080 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 116638126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239613878592).

116638126080 is an abundant number, since it is smaller than the sum of its proper divisors (362589631104).

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

116638126080 is a wasteful number, since it uses less digits than its factorization.

116638126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 116638126080 in words is "one hundred sixteen billion, six hundred thirty-eight million, one hundred twenty-six thousand, eighty".