8552679874560 has 1792 divisors, whose sum is σ = 33292353024000. Its totient is φ = 2077218570240.

The previous prime is 8552679874523. The next prime is 8552679874577. The reversal of 8552679874560 is 654789762558.

8552679874560 is a `hidden beast` number, since 8 + 5 + 5 + 26 + 79 + 87 + 456 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61530070971 + ... + 61530071109.

It is an arithmetic number, because the mean of its divisors is an integer number (18578322000).

Almost surely, 2^{8552679874560} is an apocalyptic number.

8552679874560 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 8552679874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646176512000).

8552679874560 is an abundant number, since it is smaller than the sum of its proper divisors (24739673149440).

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

8552679874560 is a wasteful number, since it uses less digits than its factorization.

8552679874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 8552679874560 in words is "eight trillion, five hundred fifty-two billion, six hundred seventy-nine million, eight hundred seventy-four thousand, five hundred sixty".