85060319400 has 480 divisors, whose sum is σ = 357499707840. Its totient is φ = 18298275840.

The previous prime is 85060319371. The next prime is 85060319413. The reversal of 85060319400 is 491306058.

85060319400 is a `hidden beast` number, since 8 + 5 + 0 + 603 + 1 + 9 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1905739 + ... + 1949861.

It is an arithmetic number, because the mean of its divisors is an integer number (744791058).

Almost surely, 2^85060319400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85060319400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178749853920).

85060319400 is an abundant number, since it is smaller than the sum of its proper divisors (272439388440).

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

85060319400 is a wasteful number, since it uses less digits than its factorization.

85060319400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44175 (or 44157 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 85060319400 in words is "eighty-five billion, sixty million, three hundred nineteen thousand, four hundred".