13045697280 has 972 divisors, whose sum is σ = 58015391616. Its totient is φ = 2696601600.

The previous prime is 13045697279. The next prime is 13045697297. The reversal of 13045697280 is 8279654031.

13045697280 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 569 + 7 + 2 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 68301985 + ... + 68302175.

It is a 1-persistent number, because it is pandigital, but 2⋅13045697280 = 26091394560 is not.

Almost surely, 2^13045697280 is an apocalyptic number.

13045697280 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 13045697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29007695808).

13045697280 is an abundant number, since it is smaller than the sum of its proper divisors (44969694336).

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

13045697280 is a wasteful number, since it uses less digits than its factorization.

13045697280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13045697280 in words is "thirteen billion, forty-five million, six hundred ninety-seven thousand, two hundred eighty".