89435795904 has 336 divisors, whose sum is σ = 316078217728. Its totient is φ = 23544981504.

The previous prime is 89435795903. The next prime is 89435795921. The reversal of 89435795904 is 40959753498.

89435795904 is a `hidden beast` number, since 8 + 9 + 4 + 3 + 579 + 59 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89435795903) 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 47 ways as a sum of consecutive naturals, for example, 38105259 + ... + 38107605.

Almost surely, 2^89435795904 is an apocalyptic number.

89435795904 is a gapful number since it is divisible by the number (84) 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 89435795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158039108864).

89435795904 is an abundant number, since it is smaller than the sum of its proper divisors (226642421824).

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

89435795904 is a wasteful number, since it uses less digits than its factorization.

89435795904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 89435795904 in words is "eighty-nine billion, four hundred thirty-five million, seven hundred ninety-five thousand, nine hundred four".