47556791124480 has 4480 divisors, whose sum is σ = 211453860372480. Its totient is φ = 10113169489920.

The previous prime is 47556791124449. The next prime is 47556791124487. The reversal of 47556791124480 is 8442119765574.

It is a happy number.

47556791124480 is a `hidden beast` number, since 4 + 7 + 5 + 5 + 6 + 79 + 112 + 448 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (47556791124487) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 374462922177 + ... + 374462922303.

Almost surely, 2^{47556791124480} is an apocalyptic number.

47556791124480 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 47556791124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105726930186240).

47556791124480 is an abundant number, since it is smaller than the sum of its proper divisors (163897069248000).

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

47556791124480 is a wasteful number, since it uses less digits than its factorization.

47556791124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 47556791124480 in words is "forty-seven trillion, five hundred fifty-six billion, seven hundred ninety-one million, one hundred twenty-four thousand, four hundred eighty".