47556717120 has 504 divisors, whose sum is σ = 180866125440. Its totient is φ = 11460556800.

The previous prime is 47556717067. The next prime is 47556717121. The reversal of 47556717120 is 2171765574.

47556717120 is a `hidden beast` number, since 4 + 7 + 556 + 7 + 1 + 71 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47556717121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83286435 + ... + 83287005.

It is an arithmetic number, because the mean of its divisors is an integer number (358861360).

Almost surely, 2^47556717120 is an apocalyptic number.

47556717120 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 47556717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90433062720).

47556717120 is an abundant number, since it is smaller than the sum of its proper divisors (133309408320).

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

47556717120 is a wasteful number, since it uses less digits than its factorization.

47556717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 47556717120 in words is "forty-seven billion, five hundred fifty-six million, seven hundred seventeen thousand, one hundred twenty".