8591979432960 has 5280 divisors, whose sum is σ = 43798987584000. Its totient is φ = 1591887790080.

The previous prime is 8591979432931. The next prime is 8591979432961. The reversal of 8591979432960 is 692349791958.

8591979432960 is a `hidden beast` number, since 8 + 59 + 19 + 79 + 432 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a super-2 number, since 2×8591979432960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8591979432961) 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 479 ways as a sum of consecutive naturals, for example, 452209443831 + ... + 452209443849.

It is an arithmetic number, because the mean of its divisors is an integer number (8295262800).

It is a 1-persistent number, because it is pandigital, but 2⋅8591979432960 = 17183958865920 is not.

Almost surely, 2^{8591979432960} is an apocalyptic number.

8591979432960 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 8591979432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21899493792000).

8591979432960 is an abundant number, since it is smaller than the sum of its proper divisors (35207008151040).

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

8591979432960 is a wasteful number, since it uses less digits than its factorization.

8591979432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 8591979432960 in words is "eight trillion, five hundred ninety-one billion, nine hundred seventy-nine million, four hundred thirty-two thousand, nine hundred sixty".