8053812040320 has 192 divisors, whose sum is σ = 27827536033440. Its totient is φ = 2146392299520.

The previous prime is 8053812040303. The next prime is 8053812040367. The reversal of 8053812040320 is 230402183508.

8053812040320 is a `hidden beast` number, since 8 + 0 + 53 + 81 + 204 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9182535 + ... + 10021305.

Almost surely, 2^{8053812040320} is an apocalyptic number.

8053812040320 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 8053812040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913768016720).

8053812040320 is an abundant number, since it is smaller than the sum of its proper divisors (19773723993120).

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

8053812040320 is a wasteful number, since it uses less digits than its factorization.

8053812040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840463 (or 840448 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 8053812040320 in words is "eight trillion, fifty-three billion, eight hundred twelve million, forty thousand, three hundred twenty".