5233878148752 has 360 divisors, whose sum is σ = 16655996448000. Its totient is φ = 1531501171200.

The previous prime is 5233878148699. The next prime is 5233878148813. The reversal of 5233878148752 is 2578418783325.

It is a happy number.

5233878148752 is a `hidden beast` number, since 5 + 2 + 3 + 38 + 78 + 1 + 487 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5233878148752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 252236874 + ... + 252257622.

It is an arithmetic number, because the mean of its divisors is an integer number (46266656800).

Almost surely, 2^{5233878148752} 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 5233878148752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8327998224000).

5233878148752 is an abundant number, since it is smaller than the sum of its proper divisors (11422118299248).

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

5233878148752 is a wasteful number, since it uses less digits than its factorization.

5233878148752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21283 (or 21263 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 5233878148752 in words is "five trillion, two hundred thirty-three billion, eight hundred seventy-eight million, one hundred forty-eight thousand, seven hundred fifty-two".