85800001732368 has 480 divisors, whose sum is σ = 288188818068480. Its totient is φ = 21505947724800.

The previous prime is 85800001732363. The next prime is 85800001732411. The reversal of 85800001732368 is 86323710000858.

It is a self number, because there is not a number n which added to its sum of digits gives 85800001732368.

It is not an unprimeable number, because it can be changed into a prime (85800001732363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2370999171 + ... + 2371035357.

It is an arithmetic number, because the mean of its divisors is an integer number (600393370976).

Almost surely, 2^{85800001732368} is an apocalyptic number.

85800001732368 is a gapful number since it is divisible by the number (88) 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 85800001732368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144094409034240).

85800001732368 is an abundant number, since it is smaller than the sum of its proper divisors (202388816336112).

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

85800001732368 is a wasteful number, since it uses less digits than its factorization.

85800001732368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38267 (or 38250 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 85800001732368 in words is "eighty-five trillion, eight hundred billion, one million, seven hundred thirty-two thousand, three hundred sixty-eight".