85874503680 has 1248 divisors, whose sum is σ = 372911984640. Its totient is φ = 17836277760.

The previous prime is 85874503619. The next prime is 85874503691. The reversal of 85874503680 is 8630547858.

85874503680 is a `hidden beast` number, since 8 + 5 + 8 + 74 + 503 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 759951304 + ... + 759951416.

It is an arithmetic number, because the mean of its divisors is an integer number (298807680).

Almost surely, 2^85874503680 is an apocalyptic number.

85874503680 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 85874503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186455992320).

85874503680 is an abundant number, since it is smaller than the sum of its proper divisors (287037480960).

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

85874503680 is a wasteful number, since it uses less digits than its factorization.

85874503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 85874503680 in words is "eighty-five billion, eight hundred seventy-four million, five hundred three thousand, six hundred eighty".