47855732267904 has 512 divisors, whose sum is σ = 148336788741120. Its totient is φ = 13523288064000.

The previous prime is 47855732267891. The next prime is 47855732267909. The reversal of 47855732267904 is 40976223755874.

It is a super-2 number, since 2×47855732267904² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47855732267909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7078199884 + ... + 7078206644.

It is an arithmetic number, because the mean of its divisors is an integer number (289720290510).

Almost surely, 2^{47855732267904} is an apocalyptic number.

47855732267904 is a gapful number since it is divisible by the number (44) 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 47855732267904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74168394370560).

47855732267904 is an abundant number, since it is smaller than the sum of its proper divisors (100481056473216).

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

47855732267904 is a wasteful number, since it uses less digits than its factorization.

47855732267904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8630 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 69.

The spelling of 47855732267904 in words is "forty-seven trillion, eight hundred fifty-five billion, seven hundred thirty-two million, two hundred sixty-seven thousand, nine hundred four".