85812579133008 has 480 divisors, whose sum is σ = 283296542146560. Its totient is φ = 21893493473280.

The previous prime is 85812579133007. The next prime is 85812579133009. The reversal of 85812579133008 is 80033197521858.

It is an interprime number because it is at equal distance from previous prime (85812579133007) and next prime (85812579133009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85812579133007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5578395685 + ... + 5578411067.

It is an arithmetic number, because the mean of its divisors is an integer number (590201129472).

Almost surely, 2^{85812579133008} 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 85812579133008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141648271073280).

85812579133008 is an abundant number, since it is smaller than the sum of its proper divisors (197483963013552).

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

85812579133008 is a wasteful number, since it uses less digits than its factorization.

85812579133008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18627 (or 18608 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 85812579133008 in words is "eighty-five trillion, eight hundred twelve billion, five hundred seventy-nine million, one hundred thirty-three thousand, eight".