89721268560 has 960 divisors, whose sum is σ = 415156285440. Its totient is φ = 16779755520.

The previous prime is 89721268501. The next prime is 89721268573. The reversal of 89721268560 is 6586212798.

89721268560 is a `hidden beast` number, since 8 + 9 + 7 + 2 + 12 + 68 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 89721268497 and 89721268506.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 21674971 + ... + 21679109.

It is an arithmetic number, because the mean of its divisors is an integer number (432454464).

Almost surely, 2^89721268560 is an apocalyptic number.

89721268560 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 89721268560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207578142720).

89721268560 is an abundant number, since it is smaller than the sum of its proper divisors (325435016880).

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

89721268560 is a wasteful number, since it uses less digits than its factorization.

89721268560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

It can be divided in two parts, 89721 and 268560, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 89721268560 in words is "eighty-nine billion, seven hundred twenty-one million, two hundred sixty-eight thousand, five hundred sixty".