52407131742720 has 640 divisors, whose sum is σ = 189761799110400. Its totient is φ = 13706255794176.

The previous prime is 52407131742673. The next prime is 52407131742727. The reversal of 52407131742720 is 2724713170425.

52407131742720 is a `hidden beast` number, since 5 + 2 + 407 + 1 + 3 + 174 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (52407131742727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1060483452 + ... + 1060532868.

It is an arithmetic number, because the mean of its divisors is an integer number (296502811110).

Almost surely, 2^{52407131742720} 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 52407131742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94880899555200).

52407131742720 is an abundant number, since it is smaller than the sum of its proper divisors (137354667367680).

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

52407131742720 is a wasteful number, since it uses less digits than its factorization.

52407131742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49745 (or 49723 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 52407131742720 in words is "fifty-two trillion, four hundred seven billion, one hundred thirty-one million, seven hundred forty-two thousand, seven hundred twenty".