85409478000 has 1600 divisors, whose sum is σ = 396370630656. Its totient is φ = 17210880000.

The previous prime is 85409477983. The next prime is 85409478023. The reversal of 85409478000 is 87490458.

It is a Cunningham number, because it is equal to 292249²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 511433917 + ... + 511434083.

Almost surely, 2^85409478000 is an apocalyptic number.

85409478000 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 85409478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198185315328).

85409478000 is an abundant number, since it is smaller than the sum of its proper divisors (310961152656).

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

85409478000 is a wasteful number, since it uses less digits than its factorization.

85409478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 85409478000 in words is "eighty-five billion, four hundred nine million, four hundred seventy-eight thousand".