47523501416160 has 2304 divisors, whose sum is σ = 222975244800000. Its totient is φ = 9322137538560.

The previous prime is 47523501416123. The next prime is 47523501416191. The reversal of 47523501416160 is 6161410532574.

It is a happy number.

47523501416160 is a `hidden beast` number, since 4 + 7 + 5 + 23 + 5 + 0 + 1 + 4 + 1 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13582022091 + ... + 13582025589.

It is an arithmetic number, because the mean of its divisors is an integer number (96777450000).

Almost surely, 2^{47523501416160} is an apocalyptic number.

47523501416160 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 47523501416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111487622400000).

47523501416160 is an abundant number, since it is smaller than the sum of its proper divisors (175451743383840).

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

47523501416160 is a wasteful number, since it uses less digits than its factorization.

47523501416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 47523501416160 in words is "forty-seven trillion, five hundred twenty-three billion, five hundred one million, four hundred sixteen thousand, one hundred sixty".