85891464960 has 864 divisors, whose sum is σ = 338227384320. Its totient is φ = 18484494336.

The previous prime is 85891464959. The next prime is 85891465019. The reversal of 85891464960 is 6946419858.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 85891464894 and 85891464903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385163409 + ... + 385163631.

It is an arithmetic number, because the mean of its divisors is an integer number (391466880).

Almost surely, 2^85891464960 is an apocalyptic number.

85891464960 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 85891464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169113692160).

85891464960 is an abundant number, since it is smaller than the sum of its proper divisors (252335919360).

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

85891464960 is a wasteful number, since it uses less digits than its factorization.

85891464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 85891464960 in words is "eighty-five billion, eight hundred ninety-one million, four hundred sixty-four thousand, nine hundred sixty".