85470520800 has 288 divisors, whose sum is σ = 331775764992. Its totient is φ = 18686638080.

The previous prime is 85470520771. The next prime is 85470520841. The reversal of 85470520800 is 802507458.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275802 + ... + 496998.

It is an arithmetic number, because the mean of its divisors is an integer number (1151999184).

Almost surely, 2^85470520800 is an apocalyptic number.

85470520800 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 85470520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165887882496).

85470520800 is an abundant number, since it is smaller than the sum of its proper divisors (246305244192).

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

85470520800 is a wasteful number, since it uses less digits than its factorization.

85470520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221250 (or 221237 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 85470520800 in words is "eighty-five billion, four hundred seventy million, five hundred twenty thousand, eight hundred".