85935971472 has 320 divisors, whose sum is σ = 254083737600. Its totient is φ = 24843386880.

The previous prime is 85935971449. The next prime is 85935971519. The reversal of 85935971472 is 27417953958.

It is a happy number.

Its product of digits (19051200) is a multiple of the sum of its prime divisors (980).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111749904 + ... + 111750672.

It is an arithmetic number, because the mean of its divisors is an integer number (794011680).

Almost surely, 2^85935971472 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 85935971472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127041868800).

85935971472 is an abundant number, since it is smaller than the sum of its proper divisors (168147766128).

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

85935971472 is a wasteful number, since it uses less digits than its factorization.

85935971472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 60.

The spelling of 85935971472 in words is "eighty-five billion, nine hundred thirty-five million, nine hundred seventy-one thousand, four hundred seventy-two".