13687092480 has 144 divisors (see below), whose sum is σ = 43765997184. Its totient is φ = 3645480960.

The previous prime is 13687092473. The next prime is 13687092533. The reversal of 13687092480 is 8429078631.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4287685 + ... + 4290875.

It is an arithmetic number, because the mean of its divisors is an integer number (303930536).

Almost surely, 2^13687092480 is an apocalyptic number.

13687092480 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 13687092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21882998592).

13687092480 is an abundant number, since it is smaller than the sum of its proper divisors (30078904704).

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

13687092480 is a wasteful number, since it uses less digits than its factorization.

13687092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 13687092480 in words is "thirteen billion, six hundred eighty-seven million, ninety-two thousand, four hundred eighty".