52204657569120 has 1440 divisors, whose sum is σ = 212561084421504. Its totient is φ = 11662518067200.

The previous prime is 52204657569101. The next prime is 52204657569137. The reversal of 52204657569120 is 2196575640225.

52204657569120 is a `hidden beast` number, since 5 + 2 + 2 + 0 + 4 + 6 + 57 + 569 + 1 + 20 = 666.

52204657569120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 78978301590 + ... + 78978302250.

Almost surely, 2^{52204657569120} 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 52204657569120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106280542210752).

52204657569120 is an abundant number, since it is smaller than the sum of its proper divisors (160356426852384).

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

52204657569120 is a wasteful number, since it uses less digits than its factorization.

52204657569120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 52204657569120 in words is "fifty-two trillion, two hundred four billion, six hundred fifty-seven million, five hundred sixty-nine thousand, one hundred twenty".