116087133173760 has 1536 divisors, whose sum is σ = 478674862848000. Its totient is φ = 26138300645376.

The previous prime is 116087133173623. The next prime is 116087133173761. The reversal of 116087133173760 is 67371331780611.

116087133173760 is a `hidden beast` number, since 1 + 1 + 60 + 87 + 133 + 1 + 7 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 116087133173697 and 116087133173706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116087133173761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69554902206 + ... + 69554903874.

It is an arithmetic number, because the mean of its divisors is an integer number (311637280500).

Almost surely, 2^{116087133173760} is an apocalyptic number.

116087133173760 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 116087133173760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239337431424000).

116087133173760 is an abundant number, since it is smaller than the sum of its proper divisors (362587729674240).

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

116087133173760 is a wasteful number, since it uses less digits than its factorization.

116087133173760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 116087133173760 in words is "one hundred sixteen trillion, eighty-seven billion, one hundred thirty-three million, one hundred seventy-three thousand, seven hundred sixty".