5260541440032 has 288 divisors, whose sum is σ = 15425567277120. Its totient is φ = 1699561543680.

The previous prime is 5260541440031. The next prime is 5260541440067. The reversal of 5260541440032 is 2300441450625.

5260541440032 is a `hidden beast` number, since 5 + 2 + 605 + 4 + 1 + 4 + 40 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5260541440032² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5260541440031) 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, 2078442607 + ... + 2078445137.

It is an arithmetic number, because the mean of its divisors is an integer number (53560997490).

Almost surely, 2^{5260541440032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5260541440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712783638560).

5260541440032 is an abundant number, since it is smaller than the sum of its proper divisors (10165025837088).

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

5260541440032 is a wasteful number, since it uses less digits than its factorization.

5260541440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 5260541440032 its reverse (2300441450625), we get a palindrome (7560982890657).

The spelling of 5260541440032 in words is "five trillion, two hundred sixty billion, five hundred forty-one million, four hundred forty thousand, thirty-two".