85226918400 has 360 divisors, whose sum is σ = 328471203060. Its totient is φ = 20978565120.

The previous prime is 85226918389. The next prime is 85226918449. The reversal of 85226918400 is 481962258.

85226918400 is a `hidden beast` number, since 8 + 5 + 226 + 9 + 18 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7640158464 + 77586759936 = 87408^2 + 278544^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1469146 + ... + 1526054.

Almost surely, 2^85226918400 is an apocalyptic number.

85226918400 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 85226918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164235601530).

85226918400 is an abundant number, since it is smaller than the sum of its proper divisors (243244284660).

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

85226918400 is a wasteful number, since it uses less digits than its factorization.

85226918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56956 (or 56932 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 85226918400 in words is "eighty-five billion, two hundred twenty-six million, nine hundred eighteen thousand, four hundred".