102059728517808 has 400 divisors, whose sum is σ = 332927071884000. Its totient is φ = 29992704344064.

The previous prime is 102059728517783. The next prime is 102059728517819. The reversal of 102059728517808 is 808715827950201.

102059728517808 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 97 + 28 + 517 + 8 + 0 + 8 = 666.

102059728517808 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35886408 + ... + 38625816.

It is an arithmetic number, because the mean of its divisors is an integer number (832317679710).

Almost surely, 2^{102059728517808} is an apocalyptic number.

102059728517808 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 102059728517808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166463535942000).

102059728517808 is an abundant number, since it is smaller than the sum of its proper divisors (230867343366192).

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

102059728517808 is a wasteful number, since it uses less digits than its factorization.

102059728517808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739554 (or 2739539 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 63.

The spelling of 102059728517808 in words is "one hundred two trillion, fifty-nine billion, seven hundred twenty-eight million, five hundred seventeen thousand, eight hundred eight".