85962560320 has 448 divisors, whose sum is σ = 266682931200. Its totient is φ = 25629696000.

The previous prime is 85962560309. The next prime is 85962560347. The reversal of 85962560320 is 2306526958.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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, 138872971 + ... + 138873589.

It is an arithmetic number, because the mean of its divisors is an integer number (595274400).

Almost surely, 2^85962560320 is an apocalyptic number.

85962560320 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 85962560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133341465600).

85962560320 is an abundant number, since it is smaller than the sum of its proper divisors (180720370880).

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

85962560320 is a wasteful number, since it uses less digits than its factorization.

85962560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 85962560320 in words is "eighty-five billion, nine hundred sixty-two million, five hundred sixty thousand, three hundred twenty".