85842554121 has 27 divisors (see below), whose sum is σ = 125141557671. Its totient is φ = 56703919104.

The previous prime is 85842553997. The next prime is 85842554123. The reversal of 85842554121 is 12145524858.

The square root of 85842554121 is 292989.

It is a perfect power (a square), and thus also a powerful number.

85842554121 is a `hidden beast` number, since 8 + 5 + 84 + 2 + 5 + 541 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33584594121 + 52257960000 = 183261^2 + 228600^2 .

It is a de Polignac number, because none of the positive numbers 2^k-85842554121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85842554123) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111628425 + ... + 111629193.

Almost surely, 2^85842554121 is an apocalyptic number.

85842554121 is the 292989-th square number.

85842554121 is the 146495-th centered octagonal number.

It is an amenable number.

85842554121 is a deficient number, since it is larger than the sum of its proper divisors (39299003550).

85842554121 is an frugal number, since it uses more digits than its factorization.

85842554121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 899 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The spelling of 85842554121 in words is "eighty-five billion, eight hundred forty-two million, five hundred fifty-four thousand, one hundred twenty-one".