89013038400 has 1008 divisors, whose sum is σ = 385690189248. Its totient is φ = 19906560000.

The previous prime is 89013038399. The next prime is 89013038407. The reversal of 89013038400 is 483031098.

89013038400 is a `hidden beast` number, since 8 + 90 + 130 + 38 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89013038407) 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 143 ways as a sum of consecutive naturals, for example, 55597600 + ... + 55599200.

It is an arithmetic number, because the mean of its divisors is an integer number (382629156).

Almost surely, 2^89013038400 is an apocalyptic number.

89013038400 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 89013038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192845094624).

89013038400 is an abundant number, since it is smaller than the sum of its proper divisors (296677150848).

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

89013038400 is a wasteful number, since it uses less digits than its factorization.

89013038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 89013038400 its reverse (483031098), we get a palindrome (89496069498).

The spelling of 89013038400 in words is "eighty-nine billion, thirteen million, thirty-eight thousand, four hundred".