47859608160 has 960 divisors, whose sum is σ = 209987914752. Its totient is φ = 10037385216.

The previous prime is 47859608129. The next prime is 47859608249. The reversal of 47859608160 is 6180695874.

47859608160 is a `hidden beast` number, since 47 + 8 + 596 + 0 + 8 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 47859608097 and 47859608106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 286584397 + ... + 286584563.

Almost surely, 2^47859608160 is an apocalyptic number.

47859608160 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 47859608160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993957376).

47859608160 is an abundant number, since it is smaller than the sum of its proper divisors (162128306592).

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

47859608160 is an equidigital number, since it uses as much as digits as its factorization.

47859608160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 47859608160 in words is "forty-seven billion, eight hundred fifty-nine million, six hundred eight thousand, one hundred sixty".