52067814589440 has 1056 divisors, whose sum is σ = 201234381444096. Its totient is φ = 12361496002560.

The previous prime is 52067814589391. The next prime is 52067814589541. The reversal of 52067814589440 is 4498541876025.

It is a happy number.

52067814589440 is a `hidden beast` number, since 5 + 2 + 0 + 6 + 7 + 8 + 1 + 4 + 589 + 4 + 40 = 666.

It is a super-2 number, since 2×52067814589440² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5701059114 + ... + 5701068246.

It is an arithmetic number, because the mean of its divisors is an integer number (190562861216).

Almost surely, 2^{52067814589440} 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 52067814589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100617190722048).

52067814589440 is an abundant number, since it is smaller than the sum of its proper divisors (149166566854656).

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

52067814589440 is a wasteful number, since it uses less digits than its factorization.

52067814589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9515 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 52067814589440 in words is "fifty-two trillion, sixty-seven billion, eight hundred fourteen million, five hundred eighty-nine thousand, four hundred forty".