5827761210656 has 96 divisors (see below), whose sum is σ = 14316266063232. Its totient is φ = 2268689448960.

The previous prime is 5827761210641. The next prime is 5827761210673. The reversal of 5827761210656 is 6560121677285.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2026970 + ... + 3970406.

It is an arithmetic number, because the mean of its divisors is an integer number (149127771492).

Almost surely, 2^{5827761210656} is an apocalyptic number.

5827761210656 is a gapful number since it is divisible by the number (56) 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 5827761210656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158133031616).

5827761210656 is an abundant number, since it is smaller than the sum of its proper divisors (8488504852576).

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

5827761210656 is a wasteful number, since it uses less digits than its factorization.

5827761210656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944682 (or 1944674 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 5827761210656 in words is "five trillion, eight hundred twenty-seven billion, seven hundred sixty-one million, two hundred ten thousand, six hundred fifty-six".