52701912465408 has 512 divisors, whose sum is σ = 164231674675200. Its totient is φ = 16670379737088.

The previous prime is 52701912465401. The next prime is 52701912465529. The reversal of 52701912465408 is 80456421910725.

52701912465408 is a `hidden beast` number, since 5 + 2 + 7 + 0 + 1 + 91 + 2 + 4 + 6 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52701912465401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2584303660 + ... + 2584324052.

It is an arithmetic number, because the mean of its divisors is an integer number (320764989600).

Almost surely, 2^{52701912465408} 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 52701912465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82115837337600).

52701912465408 is an abundant number, since it is smaller than the sum of its proper divisors (111529762209792).

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

52701912465408 is a wasteful number, since it uses less digits than its factorization.

52701912465408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20582 (or 20548 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 52701912465408 in words is "fifty-two trillion, seven hundred one billion, nine hundred twelve million, four hundred sixty-five thousand, four hundred eight".