85274385120 has 192 divisors, whose sum is σ = 298595082240. Its totient is φ = 22729572864.

The previous prime is 85274385113. The next prime is 85274385137. The reversal of 85274385120 is 2158347258.

85274385120 is a `hidden beast` number, since 8 + 527 + 43 + 85 + 1 + 2 + 0 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17826249 + ... + 17831031.

It is an arithmetic number, because the mean of its divisors is an integer number (1555182720).

Almost surely, 2^85274385120 is an apocalyptic number.

85274385120 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 85274385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149297541120).

85274385120 is an abundant number, since it is smaller than the sum of its proper divisors (213320697120).

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

85274385120 is a wasteful number, since it uses less digits than its factorization.

85274385120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934 (or 8920 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 85274385120 in words is "eighty-five billion, two hundred seventy-four million, three hundred eighty-five thousand, one hundred twenty".