47881821081600 has 4212 divisors, whose sum is σ = 212700968072320. Its totient is φ = 10642046976000.

The previous prime is 47881821081599. The next prime is 47881821081617. The reversal of 47881821081600 is 618012818874.

47881821081600 is a `hidden beast` number, since 4 + 7 + 8 + 8 + 1 + 8 + 21 + 0 + 8 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1544574873585 + ... + 1544574873615.

Almost surely, 2^{47881821081600} is an apocalyptic number.

47881821081600 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 47881821081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106350484036160).

47881821081600 is an abundant number, since it is smaller than the sum of its proper divisors (164819146990720).

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

47881821081600 is an equidigital number, since it uses as much as digits as its factorization.

47881821081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 47881821081600 in words is "forty-seven trillion, eight hundred eighty-one billion, eight hundred twenty-one million, eighty-one thousand, six hundred".