89216701600 has 144 divisors (see below), whose sum is σ = 236269987128. Its totient is φ = 32700579840.

The previous prime is 89216701547. The next prime is 89216701601. The reversal of 89216701600 is 610761298.

It can be written as a sum of positive squares in 12 ways, for example, as 4347028624 + 84869672976 = 65932^2 + 291324^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (89216701601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1393492 + ... + 1456108.

Almost surely, 2^89216701600 is an apocalyptic number.

89216701600 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 89216701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118134993564).

89216701600 is an abundant number, since it is smaller than the sum of its proper divisors (147053285528).

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

89216701600 is a wasteful number, since it uses less digits than its factorization.

89216701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62787 (or 62774 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 89216701600 in words is "eighty-nine billion, two hundred sixteen million, seven hundred one thousand, six hundred".