89408102400 has 1344 divisors, whose sum is σ = 370544140800. Its totient is φ = 21021327360.

The previous prime is 89408102359. The next prime is 89408102467. The reversal of 89408102400 is 420180498.

89408102400 is a `hidden beast` number, since 8 + 9 + 408 + 1 + 0 + 240 + 0 = 666.

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

It is a congruent number.

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, 2416435182 + ... + 2416435218.

Almost surely, 2^89408102400 is an apocalyptic number.

89408102400 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 89408102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185272070400).

89408102400 is an abundant number, since it is smaller than the sum of its proper divisors (281136038400).

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

89408102400 is a wasteful number, since it uses less digits than its factorization.

89408102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 89408102400 its reverse (420180498), we get a palindrome (89828282898).

The spelling of 89408102400 in words is "eighty-nine billion, four hundred eight million, one hundred two thousand, four hundred".