85436616192000 has 416 divisors, whose sum is σ = 288541956578304. Its totient is φ = 22443024384000.

The previous prime is 85436616191977. The next prime is 85436616192073. The reversal of 85436616192000 is 29161663458.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102496905 + ... + 103327095.

It is an arithmetic number, because the mean of its divisors is an integer number (693610472544).

Almost surely, 2^{85436616192000} is an apocalyptic number.

85436616192000 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 85436616192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144270978289152).

85436616192000 is an abundant number, since it is smaller than the sum of its proper divisors (203105340386304).

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

85436616192000 is an equidigital number, since it uses as much as digits as its factorization.

85436616192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830300 (or 830268 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 85436616192000 in words is "eighty-five trillion, four hundred thirty-six billion, six hundred sixteen million, one hundred ninety-two thousand".