801503109120 has 448 divisors, whose sum is σ = 3002653172736. Its totient is φ = 178724536320.

The previous prime is 801503109103. The next prime is 801503109149. The reversal of 801503109120 is 21901305108.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35255197 + ... + 35277923.

It is an arithmetic number, because the mean of its divisors is an integer number (6702350832).

Almost surely, 2^801503109120 is an apocalyptic number.

801503109120 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 801503109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501326586368).

801503109120 is an abundant number, since it is smaller than the sum of its proper divisors (2201150063616).

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

801503109120 is a wasteful number, since it uses less digits than its factorization.

801503109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22809 (or 22785 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 801503109120 in words is "eight hundred one billion, five hundred three million, one hundred nine thousand, one hundred twenty".