5052678120 has 768 divisors, whose sum is σ = 21228480000. Its totient is φ = 1036836864.

The previous prime is 5052678119. The next prime is 5052678121. The reversal of 5052678120 is 218762505.

It is a happy number.

5052678120 is a `hidden beast` number, since 5 + 0 + 526 + 7 + 8 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (5052678119) and next prime (5052678121).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5052678121) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 60875599 + ... + 60875681.

It is an arithmetic number, because the mean of its divisors is an integer number (27641250).

Almost surely, 2^5052678120 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 5052678120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240000).

5052678120 is an abundant number, since it is smaller than the sum of its proper divisors (16175801880).

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

5052678120 is a wasteful number, since it uses less digits than its factorization.

5052678120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5052678120 is about 71082.1927067532. The cubic root of 5052678120 is about 1715.9602008798.

The spelling of 5052678120 in words is "five billion, fifty-two million, six hundred seventy-eight thousand, one hundred twenty".