52607813760 has 384 divisors, whose sum is σ = 192872534400. Its totient is φ = 13167525888.

The previous prime is 52607813749. The next prime is 52607813771. The reversal of 52607813760 is 6731870625.

52607813760 is a `hidden beast` number, since 5 + 2 + 607 + 8 + 1 + 37 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52607813749) and next prime (52607813771).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71187471 + ... + 71188209.

It is an arithmetic number, because the mean of its divisors is an integer number (502272225).

Almost surely, 2^52607813760 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 52607813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96436267200).

52607813760 is an abundant number, since it is smaller than the sum of its proper divisors (140264720640).

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

52607813760 is a wasteful number, since it uses less digits than its factorization.

52607813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 52607813760 in words is "fifty-two billion, six hundred seven million, eight hundred thirteen thousand, seven hundred sixty".