47904514560 has 1120 divisors, whose sum is σ = 208242207360. Its totient is φ = 10319560704.

The previous prime is 47904514543. The next prime is 47904514601. The reversal of 47904514560 is 6541540974.

47904514560 is a `hidden beast` number, since 4 + 79 + 0 + 4 + 5 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 248209824 + ... + 248210016.

Almost surely, 2^47904514560 is an apocalyptic number.

47904514560 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 47904514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104121103680).

47904514560 is an abundant number, since it is smaller than the sum of its proper divisors (160337692800).

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

47904514560 is an equidigital number, since it uses as much as digits as its factorization.

47904514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 47904514560 in words is "forty-seven billion, nine hundred four million, five hundred fourteen thousand, five hundred sixty".