13887999977040 has 1440 divisors, whose sum is σ = 59715405719424. Its totient is φ = 2980609228800.

The previous prime is 13887999977017. The next prime is 13887999977087. The reversal of 13887999977040 is 4077999978831.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9732304807 + ... + 9732306233.

Almost surely, 2^{13887999977040} is an apocalyptic number.

13887999977040 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 13887999977040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29857702859712).

13887999977040 is an abundant number, since it is smaller than the sum of its proper divisors (45827405742384).

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

13887999977040 is a wasteful number, since it uses less digits than its factorization.

13887999977040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 1728324864, while the sum is 81.

The spelling of 13887999977040 in words is "thirteen trillion, eight hundred eighty-seven billion, nine hundred ninety-nine million, nine hundred seventy-seven thousand, forty".