8535608064000 has 1152 divisors, whose sum is σ = 33528288830400. Its totient is φ = 2141768908800.

The previous prime is 8535608063993. The next prime is 8535608064007. The reversal of 8535608064000 is 4608065358.

8535608064000 is a `hidden beast` number, since 8 + 5 + 3 + 560 + 80 + 6 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8535608063993) and next prime (8535608064007).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8535608064007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1997565864 + ... + 1997570136.

Almost surely, 2^{8535608064000} is an apocalyptic number.

8535608064000 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 8535608064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764144415200).

8535608064000 is an abundant number, since it is smaller than the sum of its proper divisors (24992680766400).

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

8535608064000 is a wasteful number, since it uses less digits than its factorization.

8535608064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 8535608064000 in words is "eight trillion, five hundred thirty-five billion, six hundred eight million, sixty-four thousand".