85293043200000 has 2496 divisors, whose sum is σ = 331714268928000. Its totient is φ = 21637693440000.

The previous prime is 85293043199999. The next prime is 85293043200019. The reversal of 85293043200000 is 234039258.

85293043200000 is a `hidden beast` number, since 8 + 5 + 29 + 304 + 320 + 0 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 958348799956 + ... + 958348800044.

Almost surely, 2^{85293043200000} is an apocalyptic number.

85293043200000 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 85293043200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165857134464000).

85293043200000 is an abundant number, since it is smaller than the sum of its proper divisors (246421225728000).

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

85293043200000 is an frugal number, since it uses more digits than its factorization.

85293043200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 85293043200000 its reverse (234039258), we get a palindrome (85293277239258).

The spelling of 85293043200000 in words is "eighty-five trillion, two hundred ninety-three billion, forty-three million, two hundred thousand".