91285567488 has 576 divisors, whose sum is σ = 303301908000. Its totient is φ = 27030454272.

The previous prime is 91285567421. The next prime is 91285567489. The reversal of 91285567488 is 88476558219.

91285567488 is a `hidden beast` number, since 9 + 1 + 2 + 8 + 556 + 74 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91285567489) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 339351418 + ... + 339351686.

Almost surely, 2^91285567488 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 91285567488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151650954000).

91285567488 is an abundant number, since it is smaller than the sum of its proper divisors (212016340512).

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

91285567488 is a wasteful number, since it uses less digits than its factorization.

91285567488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 310 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 91285567488 in words is "ninety-one billion, two hundred eighty-five million, five hundred sixty-seven thousand, four hundred eighty-eight".