52087660416 has 192 divisors, whose sum is σ = 169571001600. Its totient is φ = 15784035840.

The previous prime is 52087660399. The next prime is 52087660421. The reversal of 52087660416 is 61406678025.

52087660416 is a `hidden beast` number, since 5 + 20 + 8 + 7 + 6 + 604 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×52087660416² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266025 + ... + 418263.

It is an arithmetic number, because the mean of its divisors is an integer number (883182300).

Almost surely, 2^52087660416 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 52087660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84785500800).

52087660416 is an abundant number, since it is smaller than the sum of its proper divisors (117483341184).

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

52087660416 is a wasteful number, since it uses less digits than its factorization.

52087660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152279 (or 152255 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 52087660416 in words is "fifty-two billion, eighty-seven million, six hundred sixty thousand, four hundred sixteen".