13135258080 has 864 divisors, whose sum is σ = 56771559936. Its totient is φ = 2808815616.

The previous prime is 13135258051. The next prime is 13135258133. The reversal of 13135258080 is 8085253131.

13135258080 is a `hidden beast` number, since 13 + 13 + 52 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 78654157 + ... + 78654323.

It is an arithmetic number, because the mean of its divisors is an integer number (65707824).

Almost surely, 2^13135258080 is an apocalyptic number.

13135258080 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 13135258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28385779968).

13135258080 is an abundant number, since it is smaller than the sum of its proper divisors (43636301856).

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

13135258080 is a wasteful number, since it uses less digits than its factorization.

13135258080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 13135258080 in words is "thirteen billion, one hundred thirty-five million, two hundred fifty-eight thousand, eighty".