13787788248000 has 1120 divisors, whose sum is σ = 55198510855488. Its totient is φ = 3377396736000.

The previous prime is 13787788247999. The next prime is 13787788248023. The reversal of 13787788248000 is 84288778731.

13787788248000 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 7 + 78 + 82 + 480 + 0 + 0 = 666.

It is a congruent number.

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, 1777460122 + ... + 1777467878.

Almost surely, 2^{13787788248000} is an apocalyptic number.

13787788248000 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 13787788248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27599255427744).

13787788248000 is an abundant number, since it is smaller than the sum of its proper divisors (41410722607488).

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

13787788248000 is a wasteful number, since it uses less digits than its factorization.

13787788248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8020 (or 7991 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 13787788248000 in words is "thirteen trillion, seven hundred eighty-seven billion, seven hundred eighty-eight million, two hundred forty-eight thousand".