47733528257100 has 1296 divisors, whose sum is σ = 194230838430720. Its totient is φ = 9732310963200.

The previous prime is 47733528257099. The next prime is 47733528257141. The reversal of 47733528257100 is 175282533774.

47733528257100 is a `hidden beast` number, since 4 + 7 + 7 + 3 + 3 + 528 + 2 + 5 + 7 + 100 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 961046467 + ... + 961096133.

Almost surely, 2^{47733528257100} 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 47733528257100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97115419215360).

47733528257100 is an abundant number, since it is smaller than the sum of its proper divisors (146497310173620).

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

47733528257100 is a wasteful number, since it uses less digits than its factorization.

47733528257100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49788 (or 49771 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 47733528257100 in words is "forty-seven trillion, seven hundred thirty-three billion, five hundred twenty-eight million, two hundred fifty-seven thousand, one hundred".