85991522400 has 1152 divisors, whose sum is σ = 384725376000. Its totient is φ = 18095063040.

The previous prime is 85991522359. The next prime is 85991522401. The reversal of 85991522400 is 422519958.

It is a happy number.

85991522400 is a `hidden beast` number, since 8 + 5 + 99 + 152 + 2 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85991522401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106293196 + ... + 106294004.

It is an arithmetic number, because the mean of its divisors is an integer number (333963000).

Almost surely, 2^85991522400 is an apocalyptic number.

85991522400 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 85991522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192362688000).

85991522400 is an abundant number, since it is smaller than the sum of its proper divisors (298733853600).

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

85991522400 is a wasteful number, since it uses less digits than its factorization.

85991522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 85991522400 in words is "eighty-five billion, nine hundred ninety-one million, five hundred twenty-two thousand, four hundred".