13087827040 has 48 divisors (see below), whose sum is σ = 30931528320. Its totient is φ = 5233177600.

The previous prime is 13087827037. The next prime is 13087827059. The reversal of 13087827040 is 4072878031.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13087826984 and 13087827002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461265 + ... + 488815.

It is an arithmetic number, because the mean of its divisors is an integer number (644406840).

Almost surely, 2^13087827040 is an apocalyptic number.

13087827040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13087827040 is an abundant number, since it is smaller than the sum of its proper divisors (17843701280).

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

13087827040 is a wasteful number, since it uses less digits than its factorization.

13087827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30535 (or 30527 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 13087827040 in words is "thirteen billion, eighty-seven million, eight hundred twenty-seven thousand, forty".