47136276034560 has 1760 divisors, whose sum is σ = 185166996727680. Its totient is φ = 11418785021952.

The previous prime is 47136276034541. The next prime is 47136276034567. The reversal of 47136276034560 is 6543067263174.

47136276034560 is a `hidden beast` number, since 4 + 7 + 1 + 3 + 6 + 2 + 76 + 0 + 3 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47136276034497 and 47136276034506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47136276034567) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26981267607 + ... + 26981269353.

It is an arithmetic number, because the mean of its divisors is an integer number (105208520868).

Almost surely, 2^{47136276034560} is an apocalyptic number.

47136276034560 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 47136276034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92583498363840).

47136276034560 is an abundant number, since it is smaller than the sum of its proper divisors (138030720693120).

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

47136276034560 is a wasteful number, since it uses less digits than its factorization.

47136276034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 47136276034560 in words is "forty-seven trillion, one hundred thirty-six billion, two hundred seventy-six million, thirty-four thousand, five hundred sixty".