13258571040 has 864 divisors, whose sum is σ = 55744573248. Its totient is φ = 2828390400.

The previous prime is 13258570999. The next prime is 13258571063. The reversal of 13258571040 is 4017585231.

13258571040 is a `hidden beast` number, since 1 + 3 + 2 + 585 + 71 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13258570986 and 13258571004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197889087 + ... + 197889153.

It is an arithmetic number, because the mean of its divisors is an integer number (64519182).

Almost surely, 2^13258571040 is an apocalyptic number.

13258571040 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 13258571040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27872286624).

13258571040 is an abundant number, since it is smaller than the sum of its proper divisors (42486002208).

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

13258571040 is a wasteful number, since it uses less digits than its factorization.

13258571040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 13258571040 in words is "thirteen billion, two hundred fifty-eight million, five hundred seventy-one thousand, forty".