52960000104 has 192 divisors, whose sum is σ = 158682888000. Its totient is φ = 15823272960.

The previous prime is 52960000099. The next prime is 52960000117. The reversal of 52960000104 is 40100006925.

52960000104 is a `hidden beast` number, since 52 + 9 + 600 + 0 + 0 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×52960000104² (a number of 22 digits) contains 22 as substring.

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, 19405012 + ... + 19407740.

It is an arithmetic number, because the mean of its divisors is an integer number (826473375).

Almost surely, 2^52960000104 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 52960000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79341444000).

52960000104 is an abundant number, since it is smaller than the sum of its proper divisors (105722887896).

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

52960000104 is a wasteful number, since it uses less digits than its factorization.

With its successor (52960000105) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3081).

52960000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 52960000104 in words is "fifty-two billion, nine hundred sixty million, one hundred four", and thus it is an aban number.