85401425923072 has 1056 divisors, whose sum is σ = 221581821888000. Its totient is φ = 32664913182720.

The previous prime is 85401425923027. The next prime is 85401425923087. The reversal of 85401425923072 is 27032952410458.

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 95 ways as a sum of consecutive naturals, for example, 272848005988 + ... + 272848006300.

Almost surely, 2^{85401425923072} 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 85401425923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110790910944000).

85401425923072 is an abundant number, since it is smaller than the sum of its proper divisors (136180395964928).

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

85401425923072 is a wasteful number, since it uses less digits than its factorization.

85401425923072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 85401425923072 in words is "eighty-five trillion, four hundred one billion, four hundred twenty-five million, nine hundred twenty-three thousand, seventy-two".