85627651328 has 72 divisors (see below), whose sum is σ = 178566844680. Its totient is φ = 40927846400.

The previous prime is 85627651313. The next prime is 85627651337. The reversal of 85627651328 is 82315672658.

It can be written as a sum of positive squares in 4 ways, for example, as 46125293824 + 39502357504 = 214768^2 + 198752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85627651328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 692726 + ... + 806922.

It is an arithmetic number, because the mean of its divisors is an integer number (2480095065).

Almost surely, 2^85627651328 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 85627651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89283422340).

85627651328 is an abundant number, since it is smaller than the sum of its proper divisors (92939193352).

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

85627651328 is a wasteful number, since it uses less digits than its factorization.

85627651328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114343 (or 114329 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 53.

The spelling of 85627651328 in words is "eighty-five billion, six hundred twenty-seven million, six hundred fifty-one thousand, three hundred twenty-eight".