813260448000 has 3888 divisors, whose sum is σ = 4150935839232. Its totient is φ = 150958080000.

The previous prime is 813260447971. The next prime is 813260448001. The reversal of 813260448000 is 844062318.

813260448000 is a `hidden beast` number, since 8 + 1 + 3 + 2 + 604 + 48 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×813260448000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813260448001) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 26234207985 + ... + 26234208015.

Almost surely, 2^813260448000 is an apocalyptic number.

813260448000 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 813260448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075467919616).

813260448000 is an abundant number, since it is smaller than the sum of its proper divisors (3337675391232).

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

813260448000 is a wasteful number, since it uses less digits than its factorization.

813260448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 813260448000 in words is "eight hundred thirteen billion, two hundred sixty million, four hundred forty-eight thousand".