13796904960 has 260 divisors, whose sum is σ = 49464367788. Its totient is φ = 3678732288.

The previous prime is 13796904949. The next prime is 13796904991. The reversal of 13796904960 is 6940969731.

It can be written as a sum of positive squares in 2 ways, for example, as 10277093376 + 3519811584 = 101376^2 + 59328^2 .

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 = 13796904897 and 13796904906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1654722 + ... + 1663038.

Almost surely, 2^13796904960 is an apocalyptic number.

13796904960 is a gapful number since it is divisible by the number (10) 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 13796904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24732183894).

13796904960 is an abundant number, since it is smaller than the sum of its proper divisors (35667462828).

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

13796904960 is an frugal number, since it uses more digits than its factorization.

13796904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8358 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 13796904960 in words is "thirteen billion, seven hundred ninety-six million, nine hundred four thousand, nine hundred sixty".