13045294080 has 1408 divisors, whose sum is σ = 61406069760. Its totient is φ = 2548039680.

The previous prime is 13045294069. The next prime is 13045294117. The reversal of 13045294080 is 8049254031.

13045294080 is a `hidden beast` number, since 13 + 0 + 4 + 529 + 40 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213857250 + ... + 213857310.

Almost surely, 2^13045294080 is an apocalyptic number.

13045294080 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 13045294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30703034880).

13045294080 is an abundant number, since it is smaller than the sum of its proper divisors (48360775680).

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

13045294080 is a wasteful number, since it uses less digits than its factorization.

13045294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13045294080 in words is "thirteen billion, forty-five million, two hundred ninety-four thousand, eighty".