85070684160000 has 4760 divisors, whose sum is σ = 408162064880064. Its totient is φ = 17199267840000.

The previous prime is 85070684159983. The next prime is 85070684160029. The reversal of 85070684160000 is 6148607058.

It is a happy number.

85070684160000 is a `hidden beast` number, since 8 + 507 + 0 + 6 + 84 + 1 + 60 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 2299207679982 + ... + 2299207680018.

Almost surely, 2^{85070684160000} is an apocalyptic number.

85070684160000 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 85070684160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204081032440032).

85070684160000 is an abundant number, since it is smaller than the sum of its proper divisors (323091380720064).

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

85070684160000 is an frugal number, since it uses more digits than its factorization.

85070684160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 85070684160000 in words is "eighty-five trillion, seventy billion, six hundred eighty-four million, one hundred sixty thousand".