47924252166120 has 192 divisors, whose sum is σ = 159508144071360. Its totient is φ = 11509420707840.

The previous prime is 47924252166103. The next prime is 47924252166149. The reversal of 47924252166120 is 2166125242974.

47924252166120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13869577 + ... + 16976856.

It is an arithmetic number, because the mean of its divisors is an integer number (830771583705).

Almost surely, 2^{47924252166120} is an apocalyptic number.

47924252166120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47924252166120 is an abundant number, since it is smaller than the sum of its proper divisors (111583891905240).

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

47924252166120 is a wasteful number, since it uses less digits than its factorization.

47924252166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30846576 (or 30846561 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 47924252166120 in words is "forty-seven trillion, nine hundred twenty-four billion, two hundred fifty-two million, one hundred sixty-six thousand, one hundred twenty".