89638941600 has 720 divisors, whose sum is σ = 355995136728. Its totient is φ = 21817589760.

The previous prime is 89638941559. The next prime is 89638941619. The reversal of 89638941600 is 614983698.

It can be written as a sum of positive squares in 12 ways, for example, as 593994384 + 89044947216 = 24372^2 + 298404^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81712252 + ... + 81713348.

Almost surely, 2^89638941600 is an apocalyptic number.

89638941600 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 89638941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177997568364).

89638941600 is an abundant number, since it is smaller than the sum of its proper divisors (266356195128).

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

89638941600 is a wasteful number, since it uses less digits than its factorization.

89638941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 89638941600 in words is "eighty-nine billion, six hundred thirty-eight million, nine hundred forty-one thousand, six hundred".