85330731340800 has 1584 divisors, whose sum is σ = 362165201848320. Its totient is φ = 18964979712000.

The previous prime is 85330731340783. The next prime is 85330731340859. The reversal of 85330731340800 is 804313703358.

85330731340800 is a `hidden beast` number, since 8 + 533 + 0 + 7 + 3 + 1 + 34 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×85330731340800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1492733019 + ... + 1492790181.

Almost surely, 2^{85330731340800} is an apocalyptic number.

85330731340800 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 85330731340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181082600924160).

85330731340800 is an abundant number, since it is smaller than the sum of its proper divisors (276834470507520).

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

85330731340800 is a wasteful number, since it uses less digits than its factorization.

85330731340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57260 (or 57234 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 85330731340800 in words is "eighty-five trillion, three hundred thirty billion, seven hundred thirty-one million, three hundred forty thousand, eight hundred".