85880270397132 has 432 divisors, whose sum is σ = 243813574368000. Its totient is φ = 25412660582400.

The previous prime is 85880270397059. The next prime is 85880270397143. The reversal of 85880270397132 is 23179307208858.

85880270397132 is a `hidden beast` number, since 8 + 588 + 0 + 2 + 7 + 0 + 39 + 7 + 13 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85880270397132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61386897369 + ... + 61386898767.

It is an arithmetic number, because the mean of its divisors is an integer number (564383274000).

Almost surely, 2^{85880270397132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85880270397132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121906787184000).

85880270397132 is an abundant number, since it is smaller than the sum of its proper divisors (157933303970868).

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

85880270397132 is a wasteful number, since it uses less digits than its factorization.

85880270397132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 85880270397132 in words is "eighty-five trillion, eight hundred eighty billion, two hundred seventy million, three hundred ninety-seven thousand, one hundred thirty-two".