13507380432 has 360 divisors, whose sum is σ = 48067828224. Its totient is φ = 3464487936.

The previous prime is 13507380401. The next prime is 13507380433. The reversal of 13507380432 is 23408370531.

It is a super-2 number, since 2×13507380432² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13507380433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6301953 + ... + 6304095.

Almost surely, 2^13507380432 is an apocalyptic number.

13507380432 is a gapful number since it is divisible by the number (12) 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 13507380432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24033914112).

13507380432 is an abundant number, since it is smaller than the sum of its proper divisors (34560447792).

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

13507380432 is a wasteful number, since it uses less digits than its factorization.

13507380432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Subtracting 13507380432 from its reverse (23408370531), we obtain a palindrome (9900990099).

The spelling of 13507380432 in words is "thirteen billion, five hundred seven million, three hundred eighty thousand, four hundred thirty-two".