13788467164080 has 800 divisors, whose sum is σ = 55278872782848. Its totient is φ = 3120228864000.

The previous prime is 13788467164063. The next prime is 13788467164091. The reversal of 13788467164080 is 8046176488731.

13788467164080 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 8 + 467 + 164 + 0 + 8 + 0 = 666.

13788467164080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 13788467163999 and 13788467164017.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2130147724 + ... + 2130154196.

Almost surely, 2^{13788467164080} is an apocalyptic number.

13788467164080 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 13788467164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27639436391424).

13788467164080 is an abundant number, since it is smaller than the sum of its proper divisors (41490405618768).

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

13788467164080 is a wasteful number, since it uses less digits than its factorization.

13788467164080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6967 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 13788467164080 in words is "thirteen trillion, seven hundred eighty-eight billion, four hundred sixty-seven million, one hundred sixty-four thousand, eighty".