47895976128 has 448 divisors, whose sum is σ = 175658434560. Its totient is φ = 11111731200.

The previous prime is 47895976127. The next prime is 47895976129. The reversal of 47895976128 is 82167959874.

It is an interprime number because it is at equal distance from previous prime (47895976127) and next prime (47895976129).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (47895976127) 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, 5953933 + ... + 5961971.

It is an arithmetic number, because the mean of its divisors is an integer number (392094720).

Almost surely, 2^47895976128 is an apocalyptic number.

47895976128 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 47895976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87829217280).

47895976128 is an abundant number, since it is smaller than the sum of its proper divisors (127762458432).

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

47895976128 is a wasteful number, since it uses less digits than its factorization.

47895976128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8116 (or 8106 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 66.

The spelling of 47895976128 in words is "forty-seven billion, eight hundred ninety-five million, nine hundred seventy-six thousand, one hundred twenty-eight".