85982294401 has 16 divisors (see below), whose sum is σ = 88058551680. Its totient is φ = 83931240960.

The previous prime is 85982294383. The next prime is 85982294407. The reversal of 85982294401 is 10449228958.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 85982294401 - 2¹⁷ = 85982163329 is a prime.

It is a super-3 number, since 3×85982294401³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85982294407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13129810 + ... + 13136356.

It is an arithmetic number, because the mean of its divisors is an integer number (5503659480).

Almost surely, 2^85982294401 is an apocalyptic number.

It is an amenable number.

85982294401 is a deficient number, since it is larger than the sum of its proper divisors (2076257279).

85982294401 is a wasteful number, since it uses less digits than its factorization.

85982294401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8424.

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 85982294401 in words is "eighty-five billion, nine hundred eighty-two million, two hundred ninety-four thousand, four hundred one".