85940274400 has 72 divisors (see below), whose sum is σ = 212756788944. Its totient is φ = 33891916800.

The previous prime is 85940274391. The next prime is 85940274457. The reversal of 85940274400 is 447204958.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 699717 + ... + 813316.

It is an arithmetic number, because the mean of its divisors is an integer number (2954955402).

Almost surely, 2^85940274400 is an apocalyptic number.

85940274400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85940274400 is an abundant number, since it is smaller than the sum of its proper divisors (126816514544).

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

85940274400 is a wasteful number, since it uses less digits than its factorization.

85940274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513124 (or 1513111 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 85940274400 in words is "eighty-five billion, nine hundred forty million, two hundred seventy-four thousand, four hundred".