47835750816000 has 1296 divisors, whose sum is σ = 203275180128384. Its totient is φ = 10580751360000.

The previous prime is 47835750815999. The next prime is 47835750816013. The reversal of 47835750816000 is 61805753874.

It is a happy number.

47835750816000 is a `hidden beast` number, since 4 + 7 + 8 + 3 + 575 + 0 + 8 + 1 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×47835750816000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1937363655 + ... + 1937388345.

Almost surely, 2^{47835750816000} is an apocalyptic number.

47835750816000 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 47835750816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101637590064192).

47835750816000 is an abundant number, since it is smaller than the sum of its proper divisors (155439429312384).

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

47835750816000 is a wasteful number, since it uses less digits than its factorization.

47835750816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24797 (or 24739 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 47835750816000 in words is "forty-seven trillion, eight hundred thirty-five billion, seven hundred fifty million, eight hundred sixteen thousand".