47067252005160 has 192 divisors, whose sum is σ = 153415536019200. Its totient is φ = 12514615669248.

The previous prime is 47067252005153. The next prime is 47067252005177. The reversal of 47067252005160 is 6150025276074.

47067252005160 is a `hidden beast` number, since 4 + 7 + 0 + 6 + 72 + 520 + 0 + 51 + 6 + 0 = 666.

It is a super-2 number, since 2×47067252005160² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409839667 + ... + 409954493.

It is an arithmetic number, because the mean of its divisors is an integer number (799039250100).

Almost surely, 2^{47067252005160} is an apocalyptic number.

47067252005160 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 47067252005160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76707768009600).

47067252005160 is an abundant number, since it is smaller than the sum of its proper divisors (106348284014040).

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

47067252005160 is a wasteful number, since it uses less digits than its factorization.

47067252005160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118160 (or 118153 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 47067252005160 in words is "forty-seven trillion, sixty-seven billion, two hundred fifty-two million, five thousand, one hundred sixty".