47960205120 has 168 divisors, whose sum is σ = 169421961384. Its totient is φ = 12443701248.

The previous prime is 47960205089. The next prime is 47960205127. The reversal of 47960205120 is 2150206974.

47960205120 is a `hidden beast` number, since 47 + 9 + 602 + 0 + 5 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18439467264 + 29520737856 = 135792^2 + 171816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47960205127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118479 + ... + 331598.

Almost surely, 2^47960205120 is an apocalyptic number.

47960205120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47960205120 is an abundant number, since it is smaller than the sum of its proper divisors (121461756264).

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

47960205120 is a wasteful number, since it uses less digits than its factorization.

47960205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450137 (or 450124 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 47960205120 in words is "forty-seven billion, nine hundred sixty million, two hundred five thousand, one hundred twenty".