47516269508928 has 896 divisors, whose sum is σ = 159562200153600. Its totient is φ = 13733933875200.

The previous prime is 47516269508921. The next prime is 47516269508963. The reversal of 47516269508928 is 82980596261574.

47516269508928 is a `hidden beast` number, since 4 + 7 + 5 + 1 + 6 + 26 + 9 + 508 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47516269508921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21988092168 + ... + 21988094328.

Almost surely, 2^{47516269508928} is an apocalyptic number.

47516269508928 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 47516269508928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79781100076800).

47516269508928 is an abundant number, since it is smaller than the sum of its proper divisors (112045930644672).

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

47516269508928 is a wasteful number, since it uses less digits than its factorization.

47516269508928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 47516269508928 in words is "forty-seven trillion, five hundred sixteen billion, two hundred sixty-nine million, five hundred eight thousand, nine hundred twenty-eight".