47131309985760 has 2592 divisors, whose sum is σ = 220507531433280. Its totient is φ = 8968807710720.

The previous prime is 47131309985717. The next prime is 47131309985813. The reversal of 47131309985760 is 6758990313174.

47131309985760 is a `hidden beast` number, since 4 + 7 + 131 + 309 + 98 + 57 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 28239250206 + ... + 28239251874.

It is an arithmetic number, because the mean of its divisors is an integer number (85072350090).

Almost surely, 2^{47131309985760} is an apocalyptic number.

47131309985760 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 47131309985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110253765716640).

47131309985760 is an abundant number, since it is smaller than the sum of its proper divisors (173376221447520).

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

47131309985760 is a wasteful number, since it uses less digits than its factorization.

47131309985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 47131309985760 in words is "forty-seven trillion, one hundred thirty-one billion, three hundred nine million, nine hundred eighty-five thousand, seven hundred sixty".