85560192000 has 704 divisors, whose sum is σ = 333127142400. Its totient is φ = 21598617600.

The previous prime is 85560191987. The next prime is 85560192031. The reversal of 85560192000 is 29106558.

It is a happy number.

85560192000 is a `hidden beast` number, since 8 + 5 + 560 + 1 + 92 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65663349 + ... + 65664651.

Almost surely, 2^85560192000 is an apocalyptic number.

85560192000 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 85560192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166563571200).

85560192000 is an abundant number, since it is smaller than the sum of its proper divisors (247566950400).

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

85560192000 is a wasteful number, since it uses less digits than its factorization.

85560192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 85560192000 its reverse (29106558), we get a palindrome (85589298558).

The spelling of 85560192000 in words is "eighty-five billion, five hundred sixty million, one hundred ninety-two thousand".