102868559357760 has 1792 divisors, whose sum is σ = 446197939200000. Its totient is φ = 22239316205568.

The previous prime is 102868559357719. The next prime is 102868559357761. The reversal of 102868559357760 is 67753955868201.

102868559357760 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 6 + 8 + 559 + 3 + 5 + 7 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102868559357761) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49718974006 + ... + 49718976074.

Almost surely, 2^{102868559357760} is an apocalyptic number.

102868559357760 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 102868559357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223098969600000).

102868559357760 is an abundant number, since it is smaller than the sum of its proper divisors (343329379842240).

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

102868559357760 is a wasteful number, since it uses less digits than its factorization.

102868559357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 102868559357760 in words is "one hundred two trillion, eight hundred sixty-eight billion, five hundred fifty-nine million, three hundred fifty-seven thousand, seven hundred sixty".