47120501520 has 320 divisors, whose sum is σ = 168455289600. Its totient is φ = 12092129280.

The previous prime is 47120501507. The next prime is 47120501521. The reversal of 47120501520 is 2510502174.

47120501520 is a `hidden beast` number, since 4 + 71 + 20 + 50 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (47120501521) 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 63 ways as a sum of consecutive naturals, for example, 22110855 + ... + 22112985.

It is an arithmetic number, because the mean of its divisors is an integer number (526422780).

Almost surely, 2^47120501520 is an apocalyptic number.

47120501520 is a gapful number since it is divisible by the number (40) 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 47120501520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84227644800).

47120501520 is an abundant number, since it is smaller than the sum of its proper divisors (121334788080).

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

47120501520 is a wasteful number, since it uses less digits than its factorization.

47120501520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 47120501520 in words is "forty-seven billion, one hundred twenty million, five hundred one thousand, five hundred twenty".