52181831791440 has 1280 divisors, whose sum is σ = 206169604300800. Its totient is φ = 12033512865792.

The previous prime is 52181831791409. The next prime is 52181831791447. The reversal of 52181831791440 is 4419713818125.

52181831791440 is a `hidden beast` number, since 5 + 2 + 1 + 8 + 183 + 17 + 9 + 1 + 440 = 666.

52181831791440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52181831791440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52181831791447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7745555752 + ... + 7745562488.

It is an arithmetic number, because the mean of its divisors is an integer number (161070003360).

Almost surely, 2^{52181831791440} 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 52181831791440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103084802150400).

52181831791440 is an abundant number, since it is smaller than the sum of its proper divisors (153987772509360).

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

52181831791440 is a wasteful number, since it uses less digits than its factorization.

52181831791440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 52181831791440 in words is "fifty-two trillion, one hundred eighty-one billion, eight hundred thirty-one million, seven hundred ninety-one thousand, four hundred forty".