116083617975 has 72 divisors (see below), whose sum is σ = 233647858080. Its totient is φ = 54664093440.

The previous prime is 116083617973. The next prime is 116083617977. The reversal of 116083617975 is 579716380611.

116083617975 is a `hidden beast` number, since 1 + 16 + 0 + 8 + 3 + 617 + 9 + 7 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (116083617973) and next prime (116083617977).

It is not a de Polignac number, because 116083617975 - 2¹ = 116083617973 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116083617973) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795480 + ... + 930029.

It is an arithmetic number, because the mean of its divisors is an integer number (3245109140).

Almost surely, 2^116083617975 is an apocalyptic number.

116083617975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116083617975 is an abundant number, since it is smaller than the sum of its proper divisors (117564240105).

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

116083617975 is a wasteful number, since it uses less digits than its factorization.

116083617975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725561 (or 1725553 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 116083617975 in words is "one hundred sixteen billion, eighty-three million, six hundred seventeen thousand, nine hundred seventy-five".