8729455138560 has 576 divisors, whose sum is σ = 33456510864000. Its totient is φ = 2142593482752.

The previous prime is 8729455138553. The next prime is 8729455138571. The reversal of 8729455138560 is 658315549278.

8729455138560 is a `hidden beast` number, since 8 + 7 + 2 + 9 + 4 + 55 + 13 + 8 + 560 = 666.

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

It is a super-2 number, since 2×8729455138560² (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 156770884 + ... + 156826556.

It is an arithmetic number, because the mean of its divisors is an integer number (58084220250).

It is a 1-persistent number, because it is pandigital, but 2⋅8729455138560 = 17458910277120 is not.

Almost surely, 2^{8729455138560} is an apocalyptic number.

8729455138560 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 8729455138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16728255432000).

8729455138560 is an abundant number, since it is smaller than the sum of its proper divisors (24727055725440).

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

8729455138560 is a wasteful number, since it uses less digits than its factorization.

8729455138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56065 (or 56045 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 8729455138560 in words is "eight trillion, seven hundred twenty-nine billion, four hundred fifty-five million, one hundred thirty-eight thousand, five hundred sixty".