85895078400 has 960 divisors, whose sum is σ = 337730764800. Its totient is φ = 21319925760.

The previous prime is 85895078393. The next prime is 85895078431. The reversal of 85895078400 is 487059858.

85895078400 is a `hidden beast` number, since 8 + 58 + 9 + 507 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 676339137 + ... + 676339263.

It is an arithmetic number, because the mean of its divisors is an integer number (351802880).

Almost surely, 2^85895078400 is an apocalyptic number.

85895078400 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 85895078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168865382400).

85895078400 is an abundant number, since it is smaller than the sum of its proper divisors (251835686400).

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

85895078400 is a wasteful number, since it uses less digits than its factorization.

85895078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 85895078400 in words is "eighty-five billion, eight hundred ninety-five million, seventy-eight thousand, four hundred".