85540262112 has 192 divisors, whose sum is σ = 259486617600. Its totient is φ = 27390804480.

The previous prime is 85540262111. The next prime is 85540262167. The reversal of 85540262112 is 21126204558.

85540262112 is a `hidden beast` number, since 85 + 5 + 402 + 62 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85540262111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2508537 + ... + 2542407.

It is an arithmetic number, because the mean of its divisors is an integer number (1351492800).

Almost surely, 2^85540262112 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 85540262112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129743308800).

85540262112 is an abundant number, since it is smaller than the sum of its proper divisors (173946355488).

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

85540262112 is a wasteful number, since it uses less digits than its factorization.

85540262112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34006 (or 33992 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 85540262112 in words is "eighty-five billion, five hundred forty million, two hundred sixty-two thousand, one hundred twelve".