5661717515904 has 256 divisors, whose sum is σ = 16064183347200. Its totient is φ = 1761547898880.

The previous prime is 5661717515873. The next prime is 5661717515933. The reversal of 5661717515904 is 4095157171665.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1081096774 + ... + 1081102010.

It is an arithmetic number, because the mean of its divisors is an integer number (62750716200).

Almost surely, 2^{5661717515904} 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 5661717515904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032091673600).

5661717515904 is an abundant number, since it is smaller than the sum of its proper divisors (10402465831296).

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

5661717515904 is a wasteful number, since it uses less digits than its factorization.

5661717515904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 57.

The spelling of 5661717515904 in words is "five trillion, six hundred sixty-one billion, seven hundred seventeen million, five hundred fifteen thousand, nine hundred four".