13487011920 has 400 divisors, whose sum is σ = 48522936000. Its totient is φ = 3469713408.

The previous prime is 13487011903. The next prime is 13487011939. The reversal of 13487011920 is 2911078431.

It is a happy number.

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 79 ways as a sum of consecutive naturals, for example, 27027831 + ... + 27028329.

It is an arithmetic number, because the mean of its divisors is an integer number (121307340).

Almost surely, 2^13487011920 is an apocalyptic number.

13487011920 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 13487011920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24261468000).

13487011920 is an abundant number, since it is smaller than the sum of its proper divisors (35035924080).

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

13487011920 is a wasteful number, since it uses less digits than its factorization.

13487011920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 13487011920 in words is "thirteen billion, four hundred eighty-seven million, eleven thousand, nine hundred twenty".