47691850752000 has 5376 divisors, whose sum is σ = 231307870510080. Its totient is φ = 9172942848000.

The previous prime is 47691850751983. The next prime is 47691850752011. The reversal of 47691850752000 is 25705819674.

47691850752000 is a `hidden beast` number, since 4 + 7 + 69 + 1 + 8 + 50 + 7 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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 383 ways as a sum of consecutive naturals, for example, 653313023964 + ... + 653313024036.

It is an arithmetic number, because the mean of its divisors is an integer number (43026017580).

Almost surely, 2^{47691850752000} is an apocalyptic number.

47691850752000 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 47691850752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115653935255040).

47691850752000 is an abundant number, since it is smaller than the sum of its proper divisors (183616019758080).

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

47691850752000 is a wasteful number, since it uses less digits than its factorization.

47691850752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 47691850752000 in words is "forty-seven trillion, six hundred ninety-one billion, eight hundred fifty million, seven hundred fifty-two thousand".