47375136506880 has 2640 divisors, whose sum is σ = 213669437566464. Its totient is φ = 9825559511040.

The previous prime is 47375136506791. The next prime is 47375136506891. The reversal of 47375136506880 is 8860563157374.

It is a happy number.

47375136506880 is a `hidden beast` number, since 4 + 7 + 3 + 7 + 513 + 6 + 50 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 29927438569 + ... + 29927440151.

Almost surely, 2^{47375136506880} is an apocalyptic number.

47375136506880 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 47375136506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106834718783232).

47375136506880 is an abundant number, since it is smaller than the sum of its proper divisors (166294301059584).

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

47375136506880 is a wasteful number, since it uses less digits than its factorization.

47375136506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 47375136506880 in words is "forty-seven trillion, three hundred seventy-five billion, one hundred thirty-six million, five hundred six thousand, eight hundred eighty".