13787666628120 has 3072 divisors, whose sum is σ = 63583543296000. Its totient is φ = 2601936691200.

The previous prime is 13787666628079. The next prime is 13787666628121. The reversal of 13787666628120 is 2182666678731.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13787666628121) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 35443872886 + ... + 35443873274.

It is an arithmetic number, because the mean of its divisors is an integer number (20697768000).

Almost surely, 2^{13787666628120} is an apocalyptic number.

13787666628120 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 13787666628120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31791771648000).

13787666628120 is an abundant number, since it is smaller than the sum of its proper divisors (49795876667880).

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

13787666628120 is a wasteful number, since it uses less digits than its factorization.

13787666628120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 13787666628120 in words is "thirteen trillion, seven hundred eighty-seven billion, six hundred sixty-six million, six hundred twenty-eight thousand, one hundred twenty".