85206256128000 has 1040 divisors, whose sum is σ = 363041961220224. Its totient is φ = 19475649331200.

The previous prime is 85206256127999. The next prime is 85206256128029. The reversal of 85206256128000 is 82165260258.

It is a happy number.

85206256128000 is a `hidden beast` number, since 8 + 5 + 2 + 0 + 6 + 2 + 561 + 2 + 80 + 0 + 0 = 666.

It is a super-3 number, since 3×85206256128000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290157247 + ... + 290450753.

Almost surely, 2^{85206256128000} is an apocalyptic number.

85206256128000 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 85206256128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181520980610112).

85206256128000 is an abundant number, since it is smaller than the sum of its proper divisors (277835705092224).

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

85206256128000 is an equidigital number, since it uses as much as digits as its factorization.

85206256128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293565 (or 293524 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 85206256128000 in words is "eighty-five trillion, two hundred six billion, two hundred fifty-six million, one hundred twenty-eight thousand".