47030935852800 has 1296 divisors, whose sum is σ = 183596795115552. Its totient is φ = 11437867008000.

The previous prime is 47030935852759. The next prime is 47030935852841. The reversal of 47030935852800 is 825853903074.

47030935852800 is a `hidden beast` number, since 4 + 7 + 0 + 3 + 0 + 9 + 358 + 5 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47030935852759) and next prime (47030935852841).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9311210275 + ... + 9311215325.

It is an arithmetic number, because the mean of its divisors is an integer number (141664193762).

Almost surely, 2^{47030935852800} is an apocalyptic number.

47030935852800 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 47030935852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91798397557776).

47030935852800 is an abundant number, since it is smaller than the sum of its proper divisors (136565859262752).

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

47030935852800 is a wasteful number, since it uses less digits than its factorization.

47030935852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 47030935852800 in words is "forty-seven trillion, thirty billion, nine hundred thirty-five million, eight hundred fifty-two thousand, eight hundred".