102385854869760 has 6912 divisors, whose sum is σ = 511303168696320. Its totient is φ = 19102653480960.

The previous prime is 102385854869719. The next prime is 102385854869773. The reversal of 102385854869760 is 67968458583201.

102385854869760 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 8 + 5 + 8 + 548 + 6 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 994037425869 + ... + 994037425971.

It is an arithmetic number, because the mean of its divisors is an integer number (73973259360).

It is a 1-persistent number, because it is pandigital, but 2⋅102385854869760 = 204771709739520 is not.

Almost surely, 2^{102385854869760} is an apocalyptic number.

102385854869760 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 102385854869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255651584348160).

102385854869760 is an abundant number, since it is smaller than the sum of its proper divisors (408917313826560).

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

102385854869760 is a wasteful number, since it uses less digits than its factorization.

102385854869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 102385854869760 in words is "one hundred two trillion, three hundred eighty-five billion, eight hundred fifty-four million, eight hundred sixty-nine thousand, seven hundred sixty".