89806109400 has 480 divisors, whose sum is σ = 360043786080. Its totient is φ = 20321280000.

The previous prime is 89806109399. The next prime is 89806109417. The reversal of 89806109400 is 490160898.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 11449480 + ... + 11457320.

It is an arithmetic number, because the mean of its divisors is an integer number (750091221).

Almost surely, 2^89806109400 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 89806109400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180021893040).

89806109400 is an abundant number, since it is smaller than the sum of its proper divisors (270237676680).

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

89806109400 is a wasteful number, since it uses less digits than its factorization.

89806109400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7977 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 89806109400 in words is "eighty-nine billion, eight hundred six million, one hundred nine thousand, four hundred".