47928700512 has 960 divisors, whose sum is σ = 187787787264. Its totient is φ = 11623772160.

The previous prime is 47928700511. The next prime is 47928700517. The reversal of 47928700512 is 21500782974.

It is a happy number.

47928700512 is a `hidden beast` number, since 47 + 9 + 28 + 70 + 0 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47928700511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 243292798 + ... + 243292994.

Almost surely, 2^47928700512 is an apocalyptic number.

47928700512 is a gapful number since it is divisible by the number (42) 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 47928700512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93893893632).

47928700512 is an abundant number, since it is smaller than the sum of its proper divisors (139859086752).

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

47928700512 is a wasteful number, since it uses less digits than its factorization.

47928700512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 47928700512 in words is "forty-seven billion, nine hundred twenty-eight million, seven hundred thousand, five hundred twelve".