47085516656640 has 2496 divisors, whose sum is σ = 224946604811520. Its totient is φ = 9207482941440.

The previous prime is 47085516656617. The next prime is 47085516656683. The reversal of 47085516656640 is 4665661558074.

It is a happy number.

47085516656640 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 5 + 5 + 1 + 66 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5066767834 + ... + 5066777126.

Almost surely, 2^{47085516656640} is an apocalyptic number.

47085516656640 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 47085516656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112473302405760).

47085516656640 is an abundant number, since it is smaller than the sum of its proper divisors (177861088154880).

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

47085516656640 is a wasteful number, since it uses less digits than its factorization.

47085516656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373 (or 9338 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 47085516656640 in words is "forty-seven trillion, eighty-five billion, five hundred sixteen million, six hundred fifty-six thousand, six hundred forty".