4568828514120 has 384 divisors, whose sum is σ = 16265289680640. Its totient is φ = 1105411000320.

The previous prime is 4568828514119. The next prime is 4568828514137. The reversal of 4568828514120 is 214158288654.

It is a happy number.

4568828514120 is a `hidden beast` number, since 4 + 5 + 6 + 88 + 28 + 514 + 1 + 20 = 666.

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, 144535357 + ... + 144566963.

It is an arithmetic number, because the mean of its divisors is an integer number (42357525210).

Almost surely, 2^{4568828514120} is an apocalyptic number.

4568828514120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4568828514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132644840320).

4568828514120 is an abundant number, since it is smaller than the sum of its proper divisors (11696461166520).

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

4568828514120 is a wasteful number, since it uses less digits than its factorization.

4568828514120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32165 (or 32158 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 4568828514120 in words is "four trillion, five hundred sixty-eight billion, eight hundred twenty-eight million, five hundred fourteen thousand, one hundred twenty".