85564416000 has 896 divisors, whose sum is σ = 341529716736. Its totient is φ = 18599116800.

The previous prime is 85564415939. The next prime is 85564416029. The reversal of 85564416000 is 61446558.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a self number, because there is not a number n which added to its sum of digits gives 85564416000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 494591914 + ... + 494592086.

Almost surely, 2^85564416000 is an apocalyptic number.

85564416000 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 85564416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170764858368).

85564416000 is an abundant number, since it is smaller than the sum of its proper divisors (255965300736).

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

85564416000 is a wasteful number, since it uses less digits than its factorization.

85564416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 85564416000 in words is "eighty-five billion, five hundred sixty-four million, four hundred sixteen thousand".