85265294400 has 1008 divisors, whose sum is σ = 364022201088. Its totient is φ = 18653184000.

The previous prime is 85265294393. The next prime is 85265294431. The reversal of 85265294400 is 449256258.

85265294400 is a `hidden beast` number, since 85 + 2 + 6 + 529 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96781960 + ... + 96782840.

It is an arithmetic number, because the mean of its divisors is an integer number (361133136).

Almost surely, 2^85265294400 is an apocalyptic number.

85265294400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85265294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182011100544).

85265294400 is an abundant number, since it is smaller than the sum of its proper divisors (278756906688).

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

85265294400 is a wasteful number, since it uses less digits than its factorization.

85265294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 85265294400 in words is "eighty-five billion, two hundred sixty-five million, two hundred ninety-four thousand, four hundred".