85669552261296 has 80 divisors (see below), whose sum is σ = 246860167125600. Its totient is φ = 28445402529792.

The previous prime is 85669552261273. The next prime is 85669552261309. The reversal of 85669552261296 is 69216225596658.

85669552261296 is a `hidden beast` number, since 8 + 5 + 6 + 6 + 9 + 5 + 522 + 6 + 1 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385704441 + ... + 385926488.

It is an arithmetic number, because the mean of its divisors is an integer number (3085752089070).

Almost surely, 2^{85669552261296} is an apocalyptic number.

It is an amenable number.

85669552261296 is an abundant number, since it is smaller than the sum of its proper divisors (161190614864304).

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

85669552261296 is a wasteful number, since it uses less digits than its factorization.

85669552261296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771631203 (or 771631191 counting only the distinct ones).

The product of its digits is 839808000, while the sum is 72.

The spelling of 85669552261296 in words is "eighty-five trillion, six hundred sixty-nine billion, five hundred fifty-two million, two hundred sixty-one thousand, two hundred ninety-six".