5261610541824 has 432 divisors, whose sum is σ = 19492147244640. Its totient is φ = 1387676344320.

The previous prime is 5261610541763. The next prime is 5261610541829. The reversal of 5261610541824 is 4281450161625.

5261610541824 is a `hidden beast` number, since 5 + 2 + 6 + 1 + 610 + 5 + 4 + 1 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 5261610541824.

It is not an unprimeable number, because it can be changed into a prime (5261610541829) 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, 3805434 + ... + 5000454.

Almost surely, 2^{5261610541824} is an apocalyptic number.

5261610541824 is a gapful number since it is divisible by the number (54) 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 5261610541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9746073622320).

5261610541824 is an abundant number, since it is smaller than the sum of its proper divisors (14230536702816).

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

5261610541824 is a wasteful number, since it uses less digits than its factorization.

5261610541824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195073 (or 1195046 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 5261610541824 in words is "five trillion, two hundred sixty-one billion, six hundred ten million, five hundred forty-one thousand, eight hundred twenty-four".