85750509240 has 384 divisors, whose sum is σ = 312952273920. Its totient is φ = 20184652800.

The previous prime is 85750509223. The next prime is 85750509289. The reversal of 85750509240 is 4290505758.

85750509240 is a `hidden beast` number, since 8 + 57 + 50 + 509 + 2 + 40 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24379962 + ... + 24383478.

It is an arithmetic number, because the mean of its divisors is an integer number (814979880).

Almost surely, 2^85750509240 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 85750509240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156476136960).

85750509240 is an abundant number, since it is smaller than the sum of its proper divisors (227201764680).

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

85750509240 is a wasteful number, since it uses less digits than its factorization.

85750509240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 85750509240 in words is "eighty-five billion, seven hundred fifty million, five hundred nine thousand, two hundred forty".