13754059929000 has 960 divisors, whose sum is σ = 50890016136960. Its totient is φ = 3464567251200.

The previous prime is 13754059928963. The next prime is 13754059929041. The reversal of 13754059929000 is 92995045731.

13754059929000 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 40 + 599 + 2 + 9 + 0 + 0 + 0 = 666.

13754059929000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18918926637 + ... + 18918927363.

It is an arithmetic number, because the mean of its divisors is an integer number (53010433476).

Almost surely, 2^{13754059929000} is an apocalyptic number.

13754059929000 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 13754059929000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25445008068480).

13754059929000 is an abundant number, since it is smaller than the sum of its proper divisors (37135956207960).

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

13754059929000 is a wasteful number, since it uses less digits than its factorization.

13754059929000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 13754059929000 in words is "thirteen trillion, seven hundred fifty-four billion, fifty-nine million, nine hundred twenty-nine thousand".