13887126190080 has 2304 divisors, whose sum is σ = 59826102336000. Its totient is φ = 3027212697600.

The previous prime is 13887126190031. The next prime is 13887126190103. The reversal of 13887126190080 is 8009162178831.

13887126190080 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 7 + 12 + 619 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13887126189999 and 13887126190026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21073028791 + ... + 21073029449.

It is an arithmetic number, because the mean of its divisors is an integer number (25966190250).

Almost surely, 2^{13887126190080} is an apocalyptic number.

13887126190080 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 13887126190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29913051168000).

13887126190080 is an abundant number, since it is smaller than the sum of its proper divisors (45938976145920).

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

13887126190080 is a wasteful number, since it uses less digits than its factorization.

13887126190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 13887126190080 in words is "thirteen trillion, eight hundred eighty-seven billion, one hundred twenty-six million, one hundred ninety thousand, eighty".