85208374440 has 640 divisors, whose sum is σ = 357791385600. Its totient is φ = 17736744960.

The previous prime is 85208374399. The next prime is 85208374469. The reversal of 85208374440 is 4447380258.

It is a happy number.

85208374440 is a `hidden beast` number, since 8 + 520 + 83 + 7 + 4 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11948796 + ... + 11955924.

It is an arithmetic number, because the mean of its divisors is an integer number (559049040).

Almost surely, 2^85208374440 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 85208374440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178895692800).

85208374440 is an abundant number, since it is smaller than the sum of its proper divisors (272583011160).

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

85208374440 is a wasteful number, since it uses less digits than its factorization.

85208374440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7207 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 85208374440 in words is "eighty-five billion, two hundred eight million, three hundred seventy-four thousand, four hundred forty".