85968348480 has 672 divisors, whose sum is σ = 359342131200. Its totient is φ = 18426507264.

The previous prime is 85968348443. The next prime is 85968348481. The reversal of 85968348480 is 8484386958.

85968348480 is a `hidden beast` number, since 8 + 59 + 68 + 3 + 48 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85968348481) 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, 39452031 + ... + 39454209.

Almost surely, 2^85968348480 is an apocalyptic number.

85968348480 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 85968348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179671065600).

85968348480 is an abundant number, since it is smaller than the sum of its proper divisors (273373782720).

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

85968348480 is a wasteful number, since it uses less digits than its factorization.

85968348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

It can be divided in two parts, 85968348 and 480, that added together give a triangular number (85968828 = T₁₃₁₁₂).

The spelling of 85968348480 in words is "eighty-five billion, nine hundred sixty-eight million, three hundred forty-eight thousand, four hundred eighty".