868018110382080 has 3600 divisors, whose sum is σ = 3866124539692800. Its totient is φ = 185220826398720.

The previous prime is 868018110382079. The next prime is 868018110382109. The reversal of 868018110382080 is 80283011810868.

868018110382080 is a `hidden beast` number, since 8 + 6 + 8 + 0 + 181 + 1 + 0 + 382 + 0 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 438614506531 + ... + 438614508509.

It is an arithmetic number, because the mean of its divisors is an integer number (1073923483248).

Almost surely, 2^{868018110382080} is an apocalyptic number.

868018110382080 is a gapful number since it is divisible by the number (80) 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 868018110382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933062269846400).

868018110382080 is an abundant number, since it is smaller than the sum of its proper divisors (2998106429310720).

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

868018110382080 is a wasteful number, since it uses less digits than its factorization.

868018110382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 868018110382080 in words is "eight hundred sixty-eight trillion, eighteen billion, one hundred ten million, three hundred eighty-two thousand, eighty".