85078955491200 has 2304 divisors, whose sum is σ = 355787228160000. Its totient is φ = 19888892928000.

The previous prime is 85078955491183. The next prime is 85078955491213. The reversal of 85078955491200 is 219455987058.

85078955491200 is a `hidden beast` number, since 8 + 5 + 0 + 7 + 89 + 5 + 549 + 1 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 132315638079 + ... + 132315638721.

It is an arithmetic number, because the mean of its divisors is an integer number (154421540000).

Almost surely, 2^{85078955491200} is an apocalyptic number.

85078955491200 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 85078955491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177893614080000).

85078955491200 is an abundant number, since it is smaller than the sum of its proper divisors (270708272668800).

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

85078955491200 is a wasteful number, since it uses less digits than its factorization.

85078955491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 85078955491200 in words is "eighty-five trillion, seventy-eight billion, nine hundred fifty-five million, four hundred ninety-one thousand, two hundred".