47566849605120 has 640 divisors, whose sum is σ = 174974836608000. Its totient is φ = 12233983426560.

The previous prime is 47566849605113. The next prime is 47566849605169. The reversal of 47566849605120 is 2150694866574.

47566849605120 is a `hidden beast` number, since 4 + 7 + 5 + 6 + 6 + 8 + 4 + 9 + 605 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×47566849605120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1946337861 + ... + 1946362299.

It is an arithmetic number, because the mean of its divisors is an integer number (273398182200).

Almost surely, 2^{47566849605120} is an apocalyptic number.

47566849605120 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 47566849605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87487418304000).

47566849605120 is an abundant number, since it is smaller than the sum of its proper divisors (127407987002880).

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

47566849605120 is a wasteful number, since it uses less digits than its factorization.

47566849605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25471 (or 25449 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 47566849605120 in words is "forty-seven trillion, five hundred sixty-six billion, eight hundred forty-nine million, six hundred five thousand, one hundred twenty".