13738475520 has 768 divisors, whose sum is σ = 59868581760. Its totient is φ = 2854748160.

The previous prime is 13738475461. The next prime is 13738475537. The reversal of 13738475520 is 2557483731.

13738475520 is a `hidden beast` number, since 13 + 7 + 3 + 84 + 7 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×13738475520² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248952315 + ... + 1248952325.

Almost surely, 2^13738475520 is an apocalyptic number.

13738475520 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 13738475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29934290880).

13738475520 is an abundant number, since it is smaller than the sum of its proper divisors (46130106240).

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

13738475520 is an frugal number, since it uses more digits than its factorization.

13738475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 13738475520 in words is "thirteen billion, seven hundred thirty-eight million, four hundred seventy-five thousand, five hundred twenty".