8053834536000 has 2352 divisors, whose sum is σ = 33489228702384. Its totient is φ = 1916006400000.

The previous prime is 8053834535993. The next prime is 8053834536023. The reversal of 8053834536000 is 6354383508.

8053834536000 is a `hidden beast` number, since 8 + 0 + 5 + 3 + 8 + 34 + 5 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2861889490944 + 5191945045056 = 1691712^2 + 2278584^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 71272871944 + ... + 71272872056.

Almost surely, 2^{8053834536000} is an apocalyptic number.

8053834536000 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 8053834536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744614351192).

8053834536000 is an abundant number, since it is smaller than the sum of its proper divisors (25435394166384).

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

8053834536000 is a wasteful number, since it uses less digits than its factorization.

8053834536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 8053834536000 in words is "eight trillion, fifty-three billion, eight hundred thirty-four million, five hundred thirty-six thousand".