813195575280 has 1920 divisors, whose sum is σ = 3578513817600. Its totient is φ = 167513702400.

The previous prime is 813195575189. The next prime is 813195575281. The reversal of 813195575280 is 82575591318.

813195575280 is a `hidden beast` number, since 8 + 1 + 3 + 1 + 9 + 557 + 5 + 2 + 80 = 666.

It is a super-2 number, since 2×813195575280² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813195575281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3000721545 + ... + 3000721815.

It is an arithmetic number, because the mean of its divisors is an integer number (1863809280).

Almost surely, 2^813195575280 is an apocalyptic number.

813195575280 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 813195575280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789256908800).

813195575280 is an abundant number, since it is smaller than the sum of its proper divisors (2765318242320).

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

813195575280 is a wasteful number, since it uses less digits than its factorization.

813195575280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 813195575280 in words is "eight hundred thirteen billion, one hundred ninety-five million, five hundred seventy-five thousand, two hundred eighty".