52338480480 has 960 divisors, whose sum is σ = 224249389056. Its totient is φ = 11321856000.

The previous prime is 52338480457. The next prime is 52338480521. The reversal of 52338480480 is 8408483325.

52338480480 is a `hidden beast` number, since 523 + 3 + 8 + 4 + 80 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 57451225 + ... + 57452135.

Almost surely, 2^52338480480 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 52338480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112124694528).

52338480480 is an abundant number, since it is smaller than the sum of its proper divisors (171910908576).

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

52338480480 is a wasteful number, since it uses less digits than its factorization.

52338480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 52338480480 in words is "fifty-two billion, three hundred thirty-eight million, four hundred eighty thousand, four hundred eighty".