102085595111808 has 1024 divisors, whose sum is σ = 392242452480000. Its totient is φ = 25345370603520.

The previous prime is 102085595111791. The next prime is 102085595111849. The reversal of 102085595111808 is 808111595580201.

It is a happy number.

102085595111808 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 8 + 559 + 5 + 1 + 1 + 1 + 80 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 10398853716 + ... + 10398863532.

It is an arithmetic number, because the mean of its divisors is an integer number (383049270000).

Almost surely, 2^{102085595111808} is an apocalyptic number.

102085595111808 is a gapful number since it is divisible by the number (18) 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 102085595111808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196121226240000).

102085595111808 is an abundant number, since it is smaller than the sum of its proper divisors (290156857368192).

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

102085595111808 is a wasteful number, since it uses less digits than its factorization.

102085595111808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11580 (or 11562 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 54.

The spelling of 102085595111808 in words is "one hundred two trillion, eighty-five billion, five hundred ninety-five million, one hundred eleven thousand, eight hundred eight".