52822261440 has 504 divisors, whose sum is σ = 201612142368. Its totient is φ = 12680478720.

The previous prime is 52822261409. The next prime is 52822261447. The reversal of 52822261440 is 4416222825.

52822261440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 52822261395 and 52822261404.

It is not an unprimeable number, because it can be changed into a prime (52822261447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19954197 + ... + 19956843.

It is an arithmetic number, because the mean of its divisors is an integer number (400024092).

Almost surely, 2^52822261440 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 52822261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100806071184).

52822261440 is an abundant number, since it is smaller than the sum of its proper divisors (148789880928).

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

52822261440 is a wasteful number, since it uses less digits than its factorization.

52822261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 52822261440 in words is "fifty-two billion, eight hundred twenty-two million, two hundred sixty-one thousand, four hundred forty".