5667261552666 has 288 divisors, whose sum is σ = 14564263708800. Its totient is φ = 1587808873728.

The previous prime is 5667261552653. The next prime is 5667261552691. The reversal of 5667261552666 is 6662551627665.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8297600761 + ... + 8297601443.

It is an arithmetic number, because the mean of its divisors is an integer number (50570360100).

Almost surely, 2^{5667261552666} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5667261552666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282131854400).

5667261552666 is an abundant number, since it is smaller than the sum of its proper divisors (8897002156134).

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

5667261552666 is a wasteful number, since it uses less digits than its factorization.

5667261552666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1560 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 63.

The spelling of 5667261552666 in words is "five trillion, six hundred sixty-seven billion, two hundred sixty-one million, five hundred fifty-two thousand, six hundred sixty-six".