47825458756800 has 168 divisors, whose sum is σ = 161148099309456. Its totient is φ = 12408767631360.

The previous prime is 47825458756799. The next prime is 47825458756811. The reversal of 47825458756800 is 865785452874.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134466147 + ... + 134821346.

It is an arithmetic number, because the mean of its divisors is an integer number (959214876842).

Almost surely, 2^{47825458756800} is an apocalyptic number.

47825458756800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47825458756800 is an abundant number, since it is smaller than the sum of its proper divisors (113322640552656).

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

47825458756800 is a wasteful number, since it uses less digits than its factorization.

47825458756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269287555 (or 269287540 counting only the distinct ones).

The product of its (nonzero) digits is 602112000, while the sum is 69.

The spelling of 47825458756800 in words is "forty-seven trillion, eight hundred twenty-five billion, four hundred fifty-eight million, seven hundred fifty-six thousand, eight hundred".