116050208529672 has 192 divisors, whose sum is σ = 331088135040000. Its totient is φ = 36620502700032.

The previous prime is 116050208529667. The next prime is 116050208529677. The reversal of 116050208529672 is 276925802050611.

116050208529672 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 50 + 2 + 0 + 8 + 529 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (116050208529667) and next prime (116050208529677).

It is not an unprimeable number, because it can be changed into a prime (116050208529677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17443286698 + ... + 17443293350.

It is an arithmetic number, because the mean of its divisors is an integer number (1724417370000).

Almost surely, 2^{116050208529672} is an apocalyptic number.

116050208529672 is a gapful number since it is divisible by the number (12) 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 116050208529672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165544067520000).

116050208529672 is an abundant number, since it is smaller than the sum of its proper divisors (215037926510328).

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

116050208529672 is a wasteful number, since it uses less digits than its factorization.

116050208529672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14140 (or 14133 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 116050208529672 in words is "one hundred sixteen trillion, fifty billion, two hundred eight million, five hundred twenty-nine thousand, six hundred seventy-two".