8552135680704 has 560 divisors, whose sum is σ = 32279256345600. Its totient is φ = 2174066749440.

The previous prime is 8552135680679. The next prime is 8552135680717. The reversal of 8552135680704 is 4070865312558.

8552135680704 is a `hidden beast` number, since 8 + 5 + 5 + 2 + 1 + 3 + 568 + 0 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18532972 + ... + 18988820.

Almost surely, 2^{8552135680704} is an apocalyptic number.

8552135680704 is a gapful number since it is divisible by the number (84) 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 8552135680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16139628172800).

8552135680704 is an abundant number, since it is smaller than the sum of its proper divisors (23727120664896).

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

8552135680704 is a wasteful number, since it uses less digits than its factorization.

8552135680704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455938 (or 455919 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 8552135680704 in words is "eight trillion, five hundred fifty-two billion, one hundred thirty-five million, six hundred eighty thousand, seven hundred four".