13275158040 has 384 divisors, whose sum is σ = 46341771840. Its totient is φ = 3415965696.

The previous prime is 13275158023. The next prime is 13275158053. The reversal of 13275158040 is 4085157231.

13275158040 is a `hidden beast` number, since 1 + 3 + 2 + 75 + 1 + 580 + 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 = 13275157986 and 13275158004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37606504 + ... + 37606856.

Almost surely, 2^13275158040 is an apocalyptic number.

13275158040 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 13275158040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23170885920).

13275158040 is an abundant number, since it is smaller than the sum of its proper divisors (33066613800).

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

13275158040 is a wasteful number, since it uses less digits than its factorization.

13275158040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

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

The spelling of 13275158040 in words is "thirteen billion, two hundred seventy-five million, one hundred fifty-eight thousand, forty".