47166195684960 has 576 divisors, whose sum is σ = 191673823461120. Its totient is φ = 10832425850880.

The previous prime is 47166195684931. The next prime is 47166195684983. The reversal of 47166195684960 is 6948659166174.

It is a happy number.

47166195684960 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 6 + 19 + 568 + 49 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5223714 + ... + 11028126.

It is an arithmetic number, because the mean of its divisors is an integer number (332767054620).

Almost surely, 2^{47166195684960} is an apocalyptic number.

47166195684960 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 47166195684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95836911730560).

47166195684960 is an abundant number, since it is smaller than the sum of its proper divisors (144507627776160).

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

47166195684960 is a wasteful number, since it uses less digits than its factorization.

47166195684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5804473 (or 5804453 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 47166195684960 in words is "forty-seven trillion, one hundred sixty-six billion, one hundred ninety-five million, six hundred eighty-four thousand, nine hundred sixty".