47385708825600 has 792 divisors, whose sum is σ = 184852591447280. Its totient is φ = 11892833648640.

The previous prime is 47385708825593. The next prime is 47385708825667. The reversal of 47385708825600 is 652880758374.

47385708825600 is a `hidden beast` number, since 4 + 7 + 3 + 8 + 570 + 8 + 8 + 2 + 56 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 199638192 + ... + 199875408.

Almost surely, 2^{47385708825600} is an apocalyptic number.

47385708825600 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 47385708825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92426295723640).

47385708825600 is an abundant number, since it is smaller than the sum of its proper divisors (137466882621680).

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

47385708825600 is a wasteful number, since it uses less digits than its factorization.

47385708825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237290 (or 237244 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 47385708825600 in words is "forty-seven trillion, three hundred eighty-five billion, seven hundred eight million, eight hundred twenty-five thousand, six hundred".