47528749852416 has 2160 divisors, whose sum is σ = 181789669353600. Its totient is φ = 12257535983616.

The previous prime is 47528749852391. The next prime is 47528749852459. The reversal of 47528749852416 is 61425894782574.

47528749852416 is a `hidden beast` number, since 4 + 7 + 5 + 2 + 8 + 7 + 4 + 98 + 524 + 1 + 6 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 119719772730 + ... + 119719773126.

It is an arithmetic number, because the mean of its divisors is an integer number (84161883960).

Almost surely, 2^{47528749852416} 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 47528749852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90894834676800).

47528749852416 is an abundant number, since it is smaller than the sum of its proper divisors (134260919501184).

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

47528749852416 is a wasteful number, since it uses less digits than its factorization.

47528749852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 694 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 72.

The spelling of 47528749852416 in words is "forty-seven trillion, five hundred twenty-eight billion, seven hundred forty-nine million, eight hundred fifty-two thousand, four hundred sixteen".