52522525440 has 2016 divisors, whose sum is σ = 254793724416. Its totient is φ = 10032906240.

The previous prime is 52522525421. The next prime is 52522525441. The reversal of 52522525440 is 4452522525.

It is a tau number, because it is divible by the number of its divisors (2016).

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 = 52522525395 and 52522525404.

It is not an unprimeable number, because it can be changed into a prime (52522525441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1221454059 + ... + 1221454101.

It is an arithmetic number, because the mean of its divisors is an integer number (126385776).

Almost surely, 2^52522525440 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 52522525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127396862208).

52522525440 is an abundant number, since it is smaller than the sum of its proper divisors (202271198976).

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

52522525440 is a wasteful number, since it uses less digits than its factorization.

52522525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 52522525440 in words is "fifty-two billion, five hundred twenty-two million, five hundred twenty-five thousand, four hundred forty".