8553857679360 has 1152 divisors, whose sum is σ = 35441398056960. Its totient is φ = 1916805316608.

The previous prime is 8553857679359. The next prime is 8553857679371. The reversal of 8553857679360 is 639767583558.

8553857679360 is a `hidden beast` number, since 8 + 5 + 53 + 85 + 76 + 79 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6564740469 + ... + 6564741771.

It is an arithmetic number, because the mean of its divisors is an integer number (30765102480).

Almost surely, 2^{8553857679360} is an apocalyptic number.

8553857679360 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 8553857679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17720699028480).

8553857679360 is an abundant number, since it is smaller than the sum of its proper divisors (26887540377600).

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

8553857679360 is an equidigital number, since it uses as much as digits as its factorization.

8553857679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 8553857679360 in words is "eight trillion, five hundred fifty-three billion, eight hundred fifty-seven million, six hundred seventy-nine thousand, three hundred sixty".