89406341700 has 288 divisors, whose sum is σ = 289349813760. Its totient is φ = 21163161600.

The previous prime is 89406341663. The next prime is 89406341743. The reversal of 89406341700 is 714360498.

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 95 ways as a sum of consecutive naturals, for example, 30648642 + ... + 30651558.

Almost surely, 2^89406341700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89406341700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144674906880).

89406341700 is an abundant number, since it is smaller than the sum of its proper divisors (199943472060).

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

89406341700 is a wasteful number, since it uses less digits than its factorization.

89406341700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 89406341700 in words is "eighty-nine billion, four hundred six million, three hundred forty-one thousand, seven hundred".