13780170432 has 336 divisors, whose sum is σ = 48499776000. Its totient is φ = 3728954880.

The previous prime is 13780170419. The next prime is 13780170473. The reversal of 13780170432 is 23407108731.

13780170432 is a `hidden beast` number, since 137 + 80 + 17 + 0 + 432 = 666.

13780170432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3751957 + ... + 3755627.

Almost surely, 2^13780170432 is an apocalyptic number.

13780170432 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 13780170432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24249888000).

13780170432 is an abundant number, since it is smaller than the sum of its proper divisors (34719605568).

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

13780170432 is a wasteful number, since it uses less digits than its factorization.

13780170432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13780170432 in words is "thirteen billion, seven hundred eighty million, one hundred seventy thousand, four hundred thirty-two".