13497420960 has 384 divisors, whose sum is σ = 48557698560. Its totient is φ = 3500310528.

The previous prime is 13497420953. The next prime is 13497420967. The reversal of 13497420960 is 6902479431.

It is a happy number.

13497420960 is a `hidden beast` number, since 134 + 9 + 7 + 420 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13497420953) and next prime (13497420967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13497420967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 38236144 + ... + 38236496.

It is an arithmetic number, because the mean of its divisors is an integer number (126452340).

Almost surely, 2^13497420960 is an apocalyptic number.

13497420960 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 13497420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24278849280).

13497420960 is an abundant number, since it is smaller than the sum of its proper divisors (35060277600).

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

13497420960 is a wasteful number, since it uses less digits than its factorization.

13497420960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13497420960 in words is "thirteen billion, four hundred ninety-seven million, four hundred twenty thousand, nine hundred sixty".