4958067916800 has 576 divisors, whose sum is σ = 18373857898500. Its totient is φ = 1276504965120.

The previous prime is 4958067916799. The next prime is 4958067916801. The reversal of 4958067916800 is 86197608594.

4958067916800 is a `hidden beast` number, since 49 + 580 + 6 + 7 + 9 + 1 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4958067916799) and next prime (4958067916801).

It can be written as a sum of positive squares in 6 ways, for example, as 1954806644736 + 3003261272064 = 1398144^2 + 1732992^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (4958067916801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 213799606 + ... + 213822794.

Almost surely, 2^{4958067916800} is an apocalyptic number.

4958067916800 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 4958067916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186928949250).

4958067916800 is an abundant number, since it is smaller than the sum of its proper divisors (13415789981700).

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

4958067916800 is a wasteful number, since it uses less digits than its factorization.

4958067916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23264 (or 23228 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 4958067916800 in words is "four trillion, nine hundred fifty-eight billion, sixty-seven million, nine hundred sixteen thousand, eight hundred".