89087252889600 has 1008 divisors, whose sum is σ = 374092815277440. Its totient is φ = 20361668198400.

The previous prime is 89087252889577. The next prime is 89087252889611. The reversal of 89087252889600 is 698825278098.

It is a happy number.

89087252889600 is a `hidden beast` number, since 8 + 9 + 0 + 8 + 7 + 2 + 5 + 2 + 8 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4954512610 + ... + 4954530590.

It is an arithmetic number, because the mean of its divisors is an integer number (371123824680).

Almost surely, 2^{89087252889600} is an apocalyptic number.

89087252889600 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 89087252889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187046407638720).

89087252889600 is an abundant number, since it is smaller than the sum of its proper divisors (285005562387840).

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

89087252889600 is an frugal number, since it uses more digits than its factorization.

89087252889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18047 (or 17998 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 89087252889600 in words is "eighty-nine trillion, eighty-seven billion, two hundred fifty-two million, eight hundred eighty-nine thousand, six hundred".