47940574556160 has 1248 divisors, whose sum is σ = 195945375644928. Its totient is φ = 10688389447680.

The previous prime is 47940574556141. The next prime is 47940574556167. The reversal of 47940574556160 is 6165547504974.

47940574556160 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 0 + 5 + 7 + 4 + 5 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is not an unprimeable number, because it can be changed into a prime (47940574556167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7459242867 + ... + 7459249293.

It is an arithmetic number, because the mean of its divisors is an integer number (157007512536).

Almost surely, 2^{47940574556160} is an apocalyptic number.

47940574556160 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 47940574556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97972687822464).

47940574556160 is an abundant number, since it is smaller than the sum of its proper divisors (148004801088768).

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

47940574556160 is a wasteful number, since it uses less digits than its factorization.

47940574556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 47940574556160 in words is "forty-seven trillion, nine hundred forty billion, five hundred seventy-four million, five hundred fifty-six thousand, one hundred sixty".