5561267598756 has 81 divisors (see below), whose sum is σ = 14598588631809. Its totient is φ = 1853628521616.

The previous prime is 5561267598697. The next prime is 5561267598767. The reversal of 5561267598756 is 6578957621655.

The square root of 5561267598756 is 2358234.

It is a perfect power (a square), and thus also a powerful number.

5561267598756 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 26 + 7 + 598 + 7 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 896600672100 + 4664666926656 = 946890^2 + 2159784^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 382026630 + ... + 382041186.

Almost surely, 2^{5561267598756} is an apocalyptic number.

5561267598756 is the 2358234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5561267598756

5561267598756 is an abundant number, since it is smaller than the sum of its proper divisors (9037321033053).

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

5561267598756 is an frugal number, since it uses more digits than its factorization.

5561267598756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29142 (or 14562 counting only the distinct ones).

The product of its digits is 952560000, while the sum is 72.

The spelling of 5561267598756 in words is "five trillion, five hundred sixty-one billion, two hundred sixty-seven million, five hundred ninety-eight thousand, seven hundred fifty-six".