16261774640640 has 480 divisors, whose sum is σ = 59072047182720. Its totient is φ = 4129489354752.

The previous prime is 16261774640591. The next prime is 16261774640641. The reversal of 16261774640640 is 4604647716261.

16261774640640 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 177 + 464 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×16261774640640² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16261774640641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39863626 + ... + 40269494.

It is an arithmetic number, because the mean of its divisors is an integer number (123066764964).

Almost surely, 2^{16261774640640} is an apocalyptic number.

16261774640640 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 16261774640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29536023591360).

16261774640640 is an abundant number, since it is smaller than the sum of its proper divisors (42810272542080).

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

16261774640640 is a wasteful number, since it uses less digits than its factorization.

16261774640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405982 (or 405963 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 16261774640640 in words is "sixteen trillion, two hundred sixty-one billion, seven hundred seventy-four million, six hundred forty thousand, six hundred forty".