5665501556000 has 384 divisors, whose sum is σ = 16471611636480. Its totient is φ = 1887998976000.

The previous prime is 5665501555997. The next prime is 5665501556003. The reversal of 5665501556000 is 6551055665.

It is an interprime number because it is at equal distance from previous prime (5665501555997) and next prime (5665501556003).

It is a super-2 number, since 2×5665501556000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (5665501556003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79472372 + ... + 79543628.

It is an arithmetic number, because the mean of its divisors is an integer number (42894821970).

Almost surely, 2^{5665501556000} is an apocalyptic number.

5665501556000 is a gapful number since it is divisible by the number (50) 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 5665501556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235805818240).

5665501556000 is an abundant number, since it is smaller than the sum of its proper divisors (10806110080480).

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

5665501556000 is a wasteful number, since it uses less digits than its factorization.

5665501556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71445 (or 71427 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 44.

The spelling of 5665501556000 in words is "five trillion, six hundred sixty-five billion, five hundred one million, five hundred fifty-six thousand".