52545101440 has 432 divisors, whose sum is σ = 148103790390. Its totient is φ = 17814650880.

The previous prime is 52545101437. The next prime is 52545101443. The reversal of 52545101440 is 4410154525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52545101437) and next prime (52545101443).

It can be written as a sum of positive squares in 27 ways, for example, as 42690171456 + 9854929984 = 206616^2 + 99272^2 .

It is not an unprimeable number, because it can be changed into a prime (52545101443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1281587820 + ... + 1281587860.

Almost surely, 2^52545101440 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 52545101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74051895195).

52545101440 is an abundant number, since it is smaller than the sum of its proper divisors (95558688950).

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

52545101440 is a wasteful number, since it uses less digits than its factorization.

52545101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

Multiplying 52545101440 by its product of nonzero digits (16000), we get a square (840721623040000 = 28995200²).

Adding to 52545101440 its reverse (4410154525), we get a palindrome (56955255965).

The spelling of 52545101440 in words is "fifty-two billion, five hundred forty-five million, one hundred one thousand, four hundred forty".