5261827608576 has 624 divisors, whose sum is σ = 19004772354048. Its totient is φ = 1362714624000.

The previous prime is 5261827608571. The next prime is 5261827608589. The reversal of 5261827608576 is 6758067281625.

5261827608576 is a `hidden beast` number, since 5 + 2 + 6 + 18 + 2 + 7 + 608 + 5 + 7 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5261827608571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041737251 + ... + 1041742301.

It is an arithmetic number, because the mean of its divisors is an integer number (30456365952).

Almost surely, 2^{5261827608576} is an apocalyptic number.

5261827608576 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 5261827608576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9502386177024).

5261827608576 is an abundant number, since it is smaller than the sum of its proper divisors (13742944745472).

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

5261827608576 is a wasteful number, since it uses less digits than its factorization.

5261827608576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 5261827608576 in words is "five trillion, two hundred sixty-one billion, eight hundred twenty-seven million, six hundred eight thousand, five hundred seventy-six".