13538329920 has 672 divisors, whose sum is σ = 52950343680. Its totient is φ = 3156848640.

The previous prime is 13538329919. The next prime is 13538329979. The reversal of 13538329920 is 2992383531.

13538329920 is a `hidden beast` number, since 1 + 3 + 538 + 3 + 2 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 39015187 + ... + 39015533.

Almost surely, 2^13538329920 is an apocalyptic number.

13538329920 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 13538329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26475171840).

13538329920 is an abundant number, since it is smaller than the sum of its proper divisors (39412013760).

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

13538329920 is a wasteful number, since it uses less digits than its factorization.

13538329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13538329920 in words is "thirteen billion, five hundred thirty-eight million, three hundred twenty-nine thousand, nine hundred twenty".