85040613238000 has 320 divisors, whose sum is σ = 248906026137600. Its totient is φ = 27433006387200.

The previous prime is 85040613237991. The next prime is 85040613238027. The reversal of 85040613238000 is 83231604058.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 775587181 + ... + 775696819.

It is an arithmetic number, because the mean of its divisors is an integer number (777831331680).

Almost surely, 2^{85040613238000} is an apocalyptic number.

85040613238000 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 85040613238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124453013068800).

85040613238000 is an abundant number, since it is smaller than the sum of its proper divisors (163865412899600).

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

85040613238000 is a wasteful number, since it uses less digits than its factorization.

85040613238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112945 (or 112929 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 85040613238000 in words is "eighty-five trillion, forty billion, six hundred thirteen million, two hundred thirty-eight thousand".