89005631400 has 288 divisors, whose sum is σ = 352633382400. Its totient is φ = 19687795200.

The previous prime is 89005631399. The next prime is 89005631411. The reversal of 89005631400 is 413650098.

89005631400 is a `hidden beast` number, since 8 + 90 + 0 + 563 + 1 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 276666 + ... + 504534.

Almost surely, 2^89005631400 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 89005631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176316691200).

89005631400 is an abundant number, since it is smaller than the sum of its proper divisors (263627751000).

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

89005631400 is a wasteful number, since it uses less digits than its factorization.

89005631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227929 (or 227917 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 89005631400 in words is "eighty-nine billion, five million, six hundred thirty-one thousand, four hundred".