85544870400 has 1620 divisors, whose sum is σ = 376036326666. Its totient is φ = 18490982400.

The previous prime is 85544870377. The next prime is 85544870423. The reversal of 85544870400 is 407844558.

85544870400 is a `hidden beast` number, since 85 + 54 + 487 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85544870377) and next prime (85544870423).

It can be written as a sum of positive squares in 3 ways, for example, as 73367306496 + 12177563904 = 270864^2 + 110352^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 4502361591 + ... + 4502361609.

Almost surely, 2^85544870400 is an apocalyptic number.

85544870400 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 85544870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188018163333).

85544870400 is an abundant number, since it is smaller than the sum of its proper divisors (290491456266).

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

85544870400 is a wasteful number, since it uses less digits than its factorization.

85544870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 85544870400 in words is "eighty-five billion, five hundred forty-four million, eight hundred seventy thousand, four hundred".