47919126528 has 768 divisors, whose sum is σ = 178319232000. Its totient is φ = 12379226112.

The previous prime is 47919126527. The next prime is 47919126557. The reversal of 47919126528 is 82562191974.

It is a happy number.

47919126528 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 91 + 26 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47919126523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447842251 + ... + 447842357.

It is an arithmetic number, because the mean of its divisors is an integer number (232186500).

Almost surely, 2^47919126528 is an apocalyptic number.

47919126528 is a gapful number since it is divisible by the number (48) 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 47919126528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89159616000).

47919126528 is an abundant number, since it is smaller than the sum of its proper divisors (130400105472).

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

47919126528 is a wasteful number, since it uses less digits than its factorization.

47919126528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

It can be divided in two parts, 4791 and 9126528, that added together give a palindrome (9131319).

The spelling of 47919126528 in words is "forty-seven billion, nine hundred nineteen million, one hundred twenty-six thousand, five hundred twenty-eight".