4952174572800 has 1944 divisors, whose sum is σ = 22362643386720. Its totient is φ = 1036269158400.

The previous prime is 4952174572799. The next prime is 4952174572841. The reversal of 4952174572800 is 82754712594.

4952174572800 is a `hidden beast` number, since 4 + 9 + 52 + 17 + 4 + 572 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5100076315 + ... + 5100077285.

It is an arithmetic number, because the mean of its divisors is an integer number (11503417380).

Almost surely, 2^{4952174572800} is an apocalyptic number.

4952174572800 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 4952174572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11181321693360).

4952174572800 is an abundant number, since it is smaller than the sum of its proper divisors (17410468813920).

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

4952174572800 is a wasteful number, since it uses less digits than its factorization.

4952174572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 4952174572800 in words is "four trillion, nine hundred fifty-two billion, one hundred seventy-four million, five hundred seventy-two thousand, eight hundred".