47539991107584 has 1152 divisors, whose sum is σ = 160531888608000. Its totient is φ = 13966569897984.

The previous prime is 47539991107577. The next prime is 47539991107699. The reversal of 47539991107584 is 48570119993574.

47539991107584 is a `hidden beast` number, since 4 + 7 + 5 + 39 + 9 + 9 + 1 + 1 + 0 + 7 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 14306345347 + ... + 14306348669.

It is an arithmetic number, because the mean of its divisors is an integer number (139350597750).

Almost surely, 2^{47539991107584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47539991107584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80265944304000).

47539991107584 is an abundant number, since it is smaller than the sum of its proper divisors (112991897500416).

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

47539991107584 is a wasteful number, since it uses less digits than its factorization.

47539991107584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 47539991107584 in words is "forty-seven trillion, five hundred thirty-nine billion, nine hundred ninety-one million, one hundred seven thousand, five hundred eighty-four".