8104535524800 has 672 divisors, whose sum is σ = 34709100975360. Its totient is φ = 1813600972800.

The previous prime is 8104535524777. The next prime is 8104535524843. The reversal of 8104535524800 is 84255354018.

8104535524800 is a `hidden beast` number, since 8 + 1 + 0 + 4 + 53 + 552 + 48 + 0 + 0 = 666.

It is a super-2 number, since 2×8104535524800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5521639 + ... + 6833561.

It is an arithmetic number, because the mean of its divisors is an integer number (51650447880).

Almost surely, 2^{8104535524800} is an apocalyptic number.

8104535524800 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 8104535524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17354550487680).

8104535524800 is an abundant number, since it is smaller than the sum of its proper divisors (26604565450560).

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

8104535524800 is a wasteful number, since it uses less digits than its factorization.

8104535524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311978 (or 1311957 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 8104535524800 in words is "eight trillion, one hundred four billion, five hundred thirty-five million, five hundred twenty-four thousand, eight hundred".