85289090355 has 96 divisors (see below), whose sum is σ = 179682706944. Its totient is φ = 36533634048.

The previous prime is 85289090351. The next prime is 85289090357. The reversal of 85289090355 is 55309098258.

85289090355 is a `hidden beast` number, since 8 + 5 + 289 + 0 + 9 + 0 + 355 = 666.

It is not a de Polignac number, because 85289090355 - 2² = 85289090351 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85289090351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1180504 + ... + 1250666.

It is an arithmetic number, because the mean of its divisors is an integer number (1871694864).

Almost surely, 2^85289090355 is an apocalyptic number.

85289090355 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85289090355 is an abundant number, since it is smaller than the sum of its proper divisors (94393616589).

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

85289090355 is a wasteful number, since it uses less digits than its factorization.

85289090355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70425 (or 70422 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 85289090355 in words is "eighty-five billion, two hundred eighty-nine million, ninety thousand, three hundred fifty-five".