16411605909504 has 480 divisors, whose sum is σ = 50000695125696. Its totient is φ = 4743254507520.

The previous prime is 16411605909499. The next prime is 16411605909547. The reversal of 16411605909504 is 40590950611461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6962920294 + ... + 6962922650.

Almost surely, 2^{16411605909504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16411605909504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25000347562848).

16411605909504 is an abundant number, since it is smaller than the sum of its proper divisors (33589089216192).

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

16411605909504 is a wasteful number, since it uses less digits than its factorization.

16411605909504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 16411605909504 in words is "sixteen trillion, four hundred eleven billion, six hundred five million, nine hundred nine thousand, five hundred four".