85874288640 has 768 divisors, whose sum is σ = 331277506560. Its totient is φ = 18579456000.

The previous prime is 85874288623. The next prime is 85874288653. The reversal of 85874288640 is 4688247858.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342128515 + ... + 342128765.

It is an arithmetic number, because the mean of its divisors is an integer number (431350920).

Almost surely, 2^85874288640 is an apocalyptic number.

85874288640 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 85874288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165638753280).

85874288640 is an abundant number, since it is smaller than the sum of its proper divisors (245403217920).

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

85874288640 is a wasteful number, since it uses less digits than its factorization.

85874288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 60.

The spelling of 85874288640 in words is "eighty-five billion, eight hundred seventy-four million, two hundred eighty-eight thousand, six hundred forty".