47910638160 has 1120 divisors, whose sum is σ = 213589757952. Its totient is φ = 9700715520.

The previous prime is 47910638131. The next prime is 47910638213. The reversal of 47910638160 is 6183601974.

It is a happy number.

47910638160 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 0 + 638 + 1 + 6 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 211059967 + ... + 211060193.

Almost surely, 2^47910638160 is an apocalyptic number.

47910638160 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 47910638160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106794878976).

47910638160 is an abundant number, since it is smaller than the sum of its proper divisors (165679119792).

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

47910638160 is a wasteful number, since it uses less digits than its factorization.

47910638160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 47910638160 in words is "forty-seven billion, nine hundred ten million, six hundred thirty-eight thousand, one hundred sixty".