85096088352000 has 2016 divisors, whose sum is σ = 367140384584064. Its totient is φ = 19414867968000.

The previous prime is 85096088351959. The next prime is 85096088352013. The reversal of 85096088352000 is 25388069058.

85096088352000 is a `hidden beast` number, since 8 + 5 + 0 + 9 + 608 + 8 + 3 + 5 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×85096088352000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4362326247 + ... + 4362345753.

It is an arithmetic number, because the mean of its divisors is an integer number (182113286004).

Almost surely, 2^{85096088352000} is an apocalyptic number.

85096088352000 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 85096088352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183570192292032).

85096088352000 is an abundant number, since it is smaller than the sum of its proper divisors (282044296232064).

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

85096088352000 is a wasteful number, since it uses less digits than its factorization.

85096088352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19584 (or 19545 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 85096088352000 in words is "eighty-five trillion, ninety-six billion, eighty-eight million, three hundred fifty-two thousand".