85304560000 has 640 divisors, whose sum is σ = 247780684800. Its totient is φ = 28953600000.

The previous prime is 85304559961. The next prime is 85304560001. The reversal of 85304560000 is 6540358.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85304560001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1445839971 + ... + 1445840029.

It is an arithmetic number, because the mean of its divisors is an integer number (387157320).

Almost surely, 2^85304560000 is an apocalyptic number.

85304560000 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 85304560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123890342400).

85304560000 is an abundant number, since it is smaller than the sum of its proper divisors (162476124800).

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

85304560000 is a wasteful number, since it uses less digits than its factorization.

85304560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 85304560000 in words is "eighty-five billion, three hundred four million, five hundred sixty thousand".