47415058606080 has 1728 divisors, whose sum is σ = 193409909784000. Its totient is φ = 10702191329280.

The previous prime is 47415058606079. The next prime is 47415058606087. The reversal of 47415058606080 is 8060685051474.

47415058606080 is a `hidden beast` number, since 4 + 7 + 4 + 1 + 50 + 586 + 0 + 6 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×47415058606080² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47415058606087) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12500672664 + ... + 12500676456.

It is an arithmetic number, because the mean of its divisors is an integer number (111927031125).

Almost surely, 2^{47415058606080} is an apocalyptic number.

47415058606080 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 47415058606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96704954892000).

47415058606080 is an abundant number, since it is smaller than the sum of its proper divisors (145994851177920).

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

47415058606080 is a wasteful number, since it uses less digits than its factorization.

47415058606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 47415058606080 in words is "forty-seven trillion, four hundred fifteen billion, fifty-eight million, six hundred six thousand, eighty".