47948060160 has 2160 divisors, whose sum is σ = 237127979088. Its totient is φ = 9196830720.

The previous prime is 47948060123. The next prime is 47948060177. The reversal of 47948060160 is 6106084974.

47948060160 is a `hidden beast` number, since 4 + 7 + 9 + 480 + 6 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 215 ways as a sum of consecutive naturals, for example, 3688312314 + ... + 3688312326.

Almost surely, 2^47948060160 is an apocalyptic number.

47948060160 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 47948060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118563989544).

47948060160 is an abundant number, since it is smaller than the sum of its proper divisors (189179918928).

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

47948060160 is a wasteful number, since it uses less digits than its factorization.

47948060160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 47948060160 in words is "forty-seven billion, nine hundred forty-eight million, sixty thousand, one hundred sixty".