85749081600 has 960 divisors, whose sum is σ = 355981215744. Its totient is φ = 17712414720.

The previous prime is 85749081571. The next prime is 85749081611. The reversal of 85749081600 is 618094758.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85749081600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185202969 + ... + 185203431.

Almost surely, 2^85749081600 is an apocalyptic number.

85749081600 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 85749081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177990607872).

85749081600 is an abundant number, since it is smaller than the sum of its proper divisors (270232134144).

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

85749081600 is a wasteful number, since it uses less digits than its factorization.

85749081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 85749081600 in words is "eighty-five billion, seven hundred forty-nine million, eighty-one thousand, six hundred".