52766432484480 has 1920 divisors, whose sum is σ = 225910495641600. Its totient is φ = 11656982937600.

The previous prime is 52766432484397. The next prime is 52766432484487. The reversal of 52766432484480 is 8448423466725.

52766432484480 is a `hidden beast` number, since 5 + 2 + 76 + 6 + 4 + 3 + 2 + 4 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (52766432484487) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6441997185 + ... + 6442005375.

It is an arithmetic number, because the mean of its divisors is an integer number (117661716480).

Almost surely, 2^{52766432484480} 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 52766432484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112955247820800).

52766432484480 is an abundant number, since it is smaller than the sum of its proper divisors (173144063157120).

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

52766432484480 is a wasteful number, since it uses less digits than its factorization.

52766432484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8336 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 63.

The spelling of 52766432484480 in words is "fifty-two trillion, seven hundred sixty-six billion, four hundred thirty-two million, four hundred eighty-four thousand, four hundred eighty".