102085879535640 has 3840 divisors, whose sum is σ = 479333069107200. Its totient is φ = 18951821475840.

The previous prime is 102085879535623. The next prime is 102085879535659. The reversal of 102085879535640 is 46535978580201.

102085879535640 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 8 + 58 + 7 + 9 + 535 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 179412793276 + ... + 179412793844.

It is an arithmetic number, because the mean of its divisors is an integer number (124826320080).

It is a 1-persistent number, because it is pandigital, but 2⋅102085879535640 = 204171759071280 is not.

Almost surely, 2^{102085879535640} is an apocalyptic number.

102085879535640 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 102085879535640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239666534553600).

102085879535640 is an abundant number, since it is smaller than the sum of its proper divisors (377247189571560).

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

102085879535640 is a wasteful number, since it uses less digits than its factorization.

102085879535640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 102085879535640 in words is "one hundred two trillion, eighty-five billion, eight hundred seventy-nine million, five hundred thirty-five thousand, six hundred forty".