52417959390720 has 3840 divisors, whose sum is σ = 250176787660800. Its totient is φ = 10407746764800.

The previous prime is 52417959390679. The next prime is 52417959390721. The reversal of 52417959390720 is 2709395971425.

52417959390720 is a `hidden beast` number, since 5 + 2 + 4 + 17 + 9 + 593 + 9 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52417959390721) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53983479835 + ... + 53983480805.

It is an arithmetic number, because the mean of its divisors is an integer number (65150205120).

Almost surely, 2^{52417959390720} 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 52417959390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125088393830400).

52417959390720 is an abundant number, since it is smaller than the sum of its proper divisors (197758828270080).

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

52417959390720 is an equidigital number, since it uses as much as digits as its factorization.

52417959390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 52417959390720 in words is "fifty-two trillion, four hundred seventeen billion, nine hundred fifty-nine million, three hundred ninety thousand, seven hundred twenty".