47216000160 has 864 divisors, whose sum is σ = 202342795200. Its totient is φ = 9963233280.

The previous prime is 47216000147. The next prime is 47216000191. The reversal of 47216000160 is 6100061274.

47216000160 is a `hidden beast` number, since 47 + 2 + 1 + 600 + 0 + 16 + 0 = 666.

It is a super-2 number, since 2×47216000160² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54965811 + ... + 54966669.

It is an arithmetic number, because the mean of its divisors is an integer number (234193050).

Almost surely, 2^47216000160 is an apocalyptic number.

47216000160 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 47216000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101171397600).

47216000160 is an abundant number, since it is smaller than the sum of its proper divisors (155126795040).

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

47216000160 is a wasteful number, since it uses less digits than its factorization.

47216000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 47216000160 in words is "forty-seven billion, two hundred sixteen million, one hundred sixty", and thus it is an aban number.