85388128254 has 96 divisors (see below), whose sum is σ = 219592979424. Its totient is φ = 23638487040.

The previous prime is 85388128237. The next prime is 85388128261. The reversal of 85388128254 is 45282188358.

85388128254 is a `hidden beast` number, since 8 + 5 + 388 + 1 + 2 + 8 + 254 = 666.

It is a super-2 number, since 2×85388128254² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85388128254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78682 + ... + 420674.

It is an arithmetic number, because the mean of its divisors is an integer number (2287426869).

Almost surely, 2^85388128254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85388128254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109796489712).

85388128254 is an abundant number, since it is smaller than the sum of its proper divisors (134204851170).

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

85388128254 is a wasteful number, since it uses less digits than its factorization.

85388128254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342122 (or 342119 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 54.

The spelling of 85388128254 in words is "eighty-five billion, three hundred eighty-eight million, one hundred twenty-eight thousand, two hundred fifty-four".