13810929963120 has 640 divisors, whose sum is σ = 49894329058560. Its totient is φ = 3508199424000.

The previous prime is 13810929963109. The next prime is 13810929963197. The reversal of 13810929963120 is 2136992901831.

13810929963120 is a `hidden beast` number, since 1 + 38 + 1 + 0 + 9 + 299 + 6 + 312 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 740086590 + ... + 740105250.

It is an arithmetic number, because the mean of its divisors is an integer number (77959889154).

Almost surely, 2^{13810929963120} is an apocalyptic number.

13810929963120 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 13810929963120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24947164529280).

13810929963120 is an abundant number, since it is smaller than the sum of its proper divisors (36083399095440).

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

13810929963120 is a wasteful number, since it uses less digits than its factorization.

13810929963120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18922 (or 18910 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 13810929963120 in words is "thirteen trillion, eight hundred ten billion, nine hundred twenty-nine million, nine hundred sixty-three thousand, one hundred twenty".