47996841600 has 960 divisors, whose sum is σ = 188974779840. Its totient is φ = 11970478080.

The previous prime is 47996841569. The next prime is 47996841611. The reversal of 47996841600 is 614869974.

47996841600 is a `hidden beast` number, since 479 + 9 + 6 + 8 + 4 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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 119 ways as a sum of consecutive naturals, for example, 494812752 + ... + 494812848.

It is an arithmetic number, because the mean of its divisors is an integer number (196848729).

Almost surely, 2^47996841600 is an apocalyptic number.

47996841600 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 47996841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94487389920).

47996841600 is an abundant number, since it is smaller than the sum of its proper divisors (140977938240).

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

47996841600 is a wasteful number, since it uses less digits than its factorization.

47996841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 47996841600 in words is "forty-seven billion, nine hundred ninety-six million, eight hundred forty-one thousand, six hundred".