52040401920 has 528 divisors, whose sum is σ = 196216740720. Its totient is φ = 12676497408.

The previous prime is 52040401901. The next prime is 52040401927. The reversal of 52040401920 is 2910404025.

It can be written as a sum of positive squares in 8 ways, for example, as 1534132224 + 50506269696 = 39168^2 + 224736^2 .

It is not an unprimeable number, because it can be changed into a prime (52040401927) 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 47 ways as a sum of consecutive naturals, for example, 65294962 + ... + 65295758.

It is an arithmetic number, because the mean of its divisors is an integer number (371622615).

Almost surely, 2^52040401920 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 52040401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98108370360).

52040401920 is an abundant number, since it is smaller than the sum of its proper divisors (144176338800).

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

52040401920 is a wasteful number, since it uses less digits than its factorization.

52040401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 52040401920 its reverse (2910404025), we get a palindrome (54950805945).

The spelling of 52040401920 in words is "fifty-two billion, forty million, four hundred one thousand, nine hundred twenty".