52408528410672 has 240 divisors, whose sum is σ = 168105358574400. Its totient is φ = 14930901393408.

The previous prime is 52408528410671. The next prime is 52408528410757. The reversal of 52408528410672 is 27601482580425.

52408528410672 is a `hidden beast` number, since 5 + 2 + 4 + 0 + 8 + 528 + 4 + 106 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (52408528410671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1220115148 + ... + 1220158100.

It is an arithmetic number, because the mean of its divisors is an integer number (700438994060).

Almost surely, 2^{52408528410672} 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 52408528410672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84052679287200).

52408528410672 is an abundant number, since it is smaller than the sum of its proper divisors (115696830163728).

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

52408528410672 is a wasteful number, since it uses less digits than its factorization.

52408528410672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46420 (or 46411 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 52408528410672 in words is "fifty-two trillion, four hundred eight billion, five hundred twenty-eight million, four hundred ten thousand, six hundred seventy-two".