47571591011328 has 264 divisors, whose sum is σ = 138443450745600. Its totient is φ = 15732500668416.

The previous prime is 47571591011309. The next prime is 47571591011341. The reversal of 47571591011328 is 82311019517574.

It is a happy number.

47571591011328 is a `hidden beast` number, since 4 + 7 + 5 + 7 + 1 + 591 + 0 + 11 + 32 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027849263 + ... + 2027872721.

It is an arithmetic number, because the mean of its divisors is an integer number (524407010400).

Almost surely, 2^{47571591011328} is an apocalyptic number.

47571591011328 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 47571591011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69221725372800).

47571591011328 is an abundant number, since it is smaller than the sum of its proper divisors (90871859734272).

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

47571591011328 is a wasteful number, since it uses less digits than its factorization.

47571591011328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25207 (or 25186 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 47571591011328 in words is "forty-seven trillion, five hundred seventy-one billion, five hundred ninety-one million, eleven thousand, three hundred twenty-eight".