8052922736820 has 1152 divisors, whose sum is σ = 30594692943360. Its totient is φ = 1756475228160.

The previous prime is 8052922736819. The next prime is 8052922736851. The reversal of 8052922736820 is 286372292508.

8052922736820 is a `hidden beast` number, since 8 + 0 + 5 + 292 + 273 + 6 + 82 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3530434080 + ... + 3530436360.

It is an arithmetic number, because the mean of its divisors is an integer number (26557893180).

Almost surely, 2^{8052922736820} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8052922736820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297346471680).

8052922736820 is an abundant number, since it is smaller than the sum of its proper divisors (22541770206540).

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

8052922736820 is a wasteful number, since it uses less digits than its factorization.

8052922736820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 8052922736820 in words is "eight trillion, fifty-two billion, nine hundred twenty-two million, seven hundred thirty-six thousand, eight hundred twenty".