85481568648000 has 1120 divisors, whose sum is σ = 361656724366080. Its totient is φ = 19525440614400.

The previous prime is 85481568647989. The next prime is 85481568648019. The reversal of 85481568648000 is 84686518458.

85481568648000 is a `hidden beast` number, since 8 + 5 + 4 + 8 + 1 + 568 + 64 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7752018487 + ... + 7752029513.

Almost surely, 2^{85481568648000} is an apocalyptic number.

85481568648000 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 85481568648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180828362183040).

85481568648000 is an abundant number, since it is smaller than the sum of its proper divisors (276175155718080).

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

85481568648000 is a wasteful number, since it uses less digits than its factorization.

85481568648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12782 (or 12753 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 85481568648000 in words is "eighty-five trillion, four hundred eighty-one billion, five hundred sixty-eight million, six hundred forty-eight thousand".