13733586480 has 80 divisors (see below), whose sum is σ = 42736193280. Its totient is φ = 3648347904.

The previous prime is 13733586467. The next prime is 13733586491. The reversal of 13733586480 is 8468533731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13733586480² (a number of 21 digits) contains 22 as substring.

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

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, 45670 + ... + 171909.

It is an arithmetic number, because the mean of its divisors is an integer number (534202416).

Almost surely, 2^13733586480 is an apocalyptic number.

13733586480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13733586480 is an abundant number, since it is smaller than the sum of its proper divisors (29002606800).

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

13733586480 is a wasteful number, since it uses less digits than its factorization.

13733586480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217858 (or 217852 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

It can be divided in two parts, 1373 and 3586480, that added together give a palindrome (3587853).

The spelling of 13733586480 in words is "thirteen billion, seven hundred thirty-three million, five hundred eighty-six thousand, four hundred eighty".