801354205048320 has 5120 divisors, whose sum is σ = 3773190454640640. Its totient is φ = 158340759552000.

The previous prime is 801354205048171. The next prime is 801354205048321. The reversal of 801354205048320 is 23840502453108.

801354205048320 is a `hidden beast` number, since 8 + 0 + 1 + 3 + 5 + 42 + 0 + 504 + 83 + 20 = 666.

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 (801354205048321) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 815212822549 + ... + 815212823531.

It is an arithmetic number, because the mean of its divisors is an integer number (736951260672).

Almost surely, 2^{801354205048320} is an apocalyptic number.

801354205048320 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 801354205048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886595227320320).

801354205048320 is an abundant number, since it is smaller than the sum of its proper divisors (2971836249592320).

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

801354205048320 is an equidigital number, since it uses as much as digits as its factorization.

801354205048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 801354205048320 in words is "eight hundred one trillion, three hundred fifty-four billion, two hundred five million, forty-eight thousand, three hundred twenty".