813429196560 has 400 divisors, whose sum is σ = 3001593711600. Its totient is φ = 203772506112.

The previous prime is 813429196553. The next prime is 813429196603. The reversal of 813429196560 is 65691924318.

813429196560 is a `hidden beast` number, since 81 + 3 + 429 + 1 + 96 + 56 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 219968504064 + 593460692496 = 469008^2 + 770364^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 813429196497 and 813429196506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6894546 + ... + 7011534.

It is an arithmetic number, because the mean of its divisors is an integer number (7503984279).

Almost surely, 2^813429196560 is an apocalyptic number.

813429196560 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 813429196560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500796855800).

813429196560 is an abundant number, since it is smaller than the sum of its proper divisors (2188164515040).

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

813429196560 is a wasteful number, since it uses less digits than its factorization.

813429196560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117080 (or 117065 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 813429196560 in words is "eight hundred thirteen billion, four hundred twenty-nine million, one hundred ninety-six thousand, five hundred sixty".