47657005128 has 320 divisors, whose sum is σ = 139958280000. Its totient is φ = 15140556288.

The previous prime is 47657005051. The next prime is 47657005153. The reversal of 47657005128 is 82150075674.

47657005128 is a `hidden beast` number, since 4 + 7 + 6 + 570 + 0 + 51 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 319845598 + ... + 319845746.

It is an arithmetic number, because the mean of its divisors is an integer number (437369625).

Almost surely, 2^47657005128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47657005128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69979140000).

47657005128 is an abundant number, since it is smaller than the sum of its proper divisors (92301274872).

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

47657005128 is a wasteful number, since it uses less digits than its factorization.

47657005128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 47657005128 in words is "forty-seven billion, six hundred fifty-seven million, five thousand, one hundred twenty-eight".