8793945538560 has 768 divisors, whose sum is σ = 37520834289120. Its totient is φ = 1855425871872.

The previous prime is 8793945538519. The next prime is 8793945538579. The reversal of 8793945538560 is 658355493978.

8793945538560 is a `hidden beast` number, since 8 + 7 + 9 + 3 + 9 + 4 + 5 + 53 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 33280 × 32256 × 8192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676457349114 + ... + 676457349126.

Almost surely, 2^{8793945538560} is an apocalyptic number.

8793945538560 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 8793945538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18760417144560).

8793945538560 is an abundant number, since it is smaller than the sum of its proper divisors (28726888750560).

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

8793945538560 is an frugal number, since it uses more digits than its factorization.

8793945538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 8793945538560 in words is "eight trillion, seven hundred ninety-three billion, nine hundred forty-five million, five hundred thirty-eight thousand, five hundred sixty".