16411949568000 has 1664 divisors, whose sum is σ = 71599101050880. Its totient is φ = 3629629440000.

The previous prime is 16411949567971. The next prime is 16411949568071. The reversal of 16411949568000 is 86594911461.

16411949568000 is a `hidden beast` number, since 1 + 64 + 1 + 19 + 4 + 9 + 568 + 0 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 2999805265 + ... + 2999810735.

It is an arithmetic number, because the mean of its divisors is an integer number (43028305920).

Almost surely, 2^{16411949568000} is an apocalyptic number.

16411949568000 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 16411949568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35799550525440).

16411949568000 is an abundant number, since it is smaller than the sum of its proper divisors (55187151482880).

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

16411949568000 is an equidigital number, since it uses as much as digits as its factorization.

16411949568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 16411949568000 in words is "sixteen trillion, four hundred eleven billion, nine hundred forty-nine million, five hundred sixty-eight thousand".