85080434400 has 1152 divisors, whose sum is σ = 359077017600. Its totient is φ = 19259596800.

The previous prime is 85080434357. The next prime is 85080434401. The reversal of 85080434400 is 443408058.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85080434401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 197402185 + ... + 197402615.

It is an arithmetic number, because the mean of its divisors is an integer number (311698800).

Almost surely, 2^85080434400 is an apocalyptic number.

85080434400 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 85080434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179538508800).

85080434400 is an abundant number, since it is smaller than the sum of its proper divisors (273996583200).

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

85080434400 is a wasteful number, since it uses less digits than its factorization.

85080434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 85080434400 in words is "eighty-five billion, eighty million, four hundred thirty-four thousand, four hundred".