47516985600 has 648 divisors, whose sum is σ = 193214071008. Its totient is φ = 10218700800.

The previous prime is 47516985589. The next prime is 47516985653. The reversal of 47516985600 is 658961574.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15992115 + ... + 15995085.

Almost surely, 2^47516985600 is an apocalyptic number.

47516985600 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 47516985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96607035504).

47516985600 is an abundant number, since it is smaller than the sum of its proper divisors (145697085408).

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

47516985600 is a wasteful number, since it uses less digits than its factorization.

47516985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 47516985600 in words is "forty-seven billion, five hundred sixteen million, nine hundred eighty-five thousand, six hundred".