89579048832 has 384 divisors, whose sum is σ = 319079517120. Its totient is φ = 23489740800.

The previous prime is 89579048827. The next prime is 89579048837. The reversal of 89579048832 is 23884097598.

89579048832 is a `hidden beast` number, since 89 + 5 + 79 + 0 + 488 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (89579048827) and next prime (89579048837).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 89579048832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89579048837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18972232 + ... + 18976952.

Almost surely, 2^89579048832 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 89579048832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159539758560).

89579048832 is an abundant number, since it is smaller than the sum of its proper divisors (229500468288).

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

89579048832 is a wasteful number, since it uses less digits than its factorization.

89579048832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 89579048832 in words is "eighty-nine billion, five hundred seventy-nine million, forty-eight thousand, eight hundred thirty-two".