47364502852800 has 5376 divisors, whose sum is σ = 224795770880000. Its totient is φ = 9777380659200.

The previous prime is 47364502852783. The next prime is 47364502852801. The reversal of 47364502852800 is 825820546374.

47364502852800 is a `hidden beast` number, since 4 + 7 + 3 + 6 + 4 + 502 + 8 + 52 + 80 + 0 = 666.

It is a super-2 number, since 2×47364502852800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47364502852801) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 706932878367 + ... + 706932878433.

Almost surely, 2^{47364502852800} is an apocalyptic number.

47364502852800 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 47364502852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112397885440000).

47364502852800 is an abundant number, since it is smaller than the sum of its proper divisors (177431268027200).

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

47364502852800 is an equidigital number, since it uses as much as digits as its factorization.

47364502852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 47364502852800 in words is "forty-seven trillion, three hundred sixty-four billion, five hundred two million, eight hundred fifty-two thousand, eight hundred".