85925244240 has 240 divisors, whose sum is σ = 314996535360. Its totient is φ = 20817285120.

The previous prime is 85925244239. The next prime is 85925244247. The reversal of 85925244240 is 4244252958.

85925244240 is a `hidden beast` number, since 8 + 592 + 52 + 4 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85925244247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20106744 + ... + 20111016.

It is an arithmetic number, because the mean of its divisors is an integer number (1312485564).

Almost surely, 2^85925244240 is an apocalyptic number.

85925244240 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 85925244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157498267680).

85925244240 is an abundant number, since it is smaller than the sum of its proper divisors (229071291120).

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

85925244240 is a wasteful number, since it uses less digits than its factorization.

85925244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 85925244240 in words is "eighty-five billion, nine hundred twenty-five million, two hundred forty-four thousand, two hundred forty".