89870860800 has 1800 divisors, whose sum is σ = 406827683460. Its totient is φ = 19508428800.

The previous prime is 89870860799. The next prime is 89870860843. The reversal of 89870860800 is 806807898.

It can be written as a sum of positive squares in 6 ways, for example, as 10779422976 + 79091437824 = 103824^2 + 281232^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 1473292770 + ... + 1473292830.

Almost surely, 2^89870860800 is an apocalyptic number.

89870860800 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 89870860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203413841730).

89870860800 is an abundant number, since it is smaller than the sum of its proper divisors (316956822660).

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

89870860800 is a wasteful number, since it uses less digits than its factorization.

89870860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 89870860800 in words is "eighty-nine billion, eight hundred seventy million, eight hundred sixty thousand, eight hundred".