47516649600 has 384 divisors, whose sum is σ = 180188467200. Its totient is φ = 10780692480.

The previous prime is 47516649449. The next prime is 47516649617. The reversal of 47516649600 is 694661574.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47516649600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9338257 + ... + 9343343.

It is an arithmetic number, because the mean of its divisors is an integer number (469240800).

Almost surely, 2^47516649600 is an apocalyptic number.

47516649600 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 47516649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90094233600).

47516649600 is an abundant number, since it is smaller than the sum of its proper divisors (132671817600).

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

47516649600 is a wasteful number, since it uses less digits than its factorization.

47516649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 47516649600 in words is "forty-seven billion, five hundred sixteen million, six hundred forty-nine thousand, six hundred".