47505015164520 has 384 divisors, whose sum is σ = 159354071884800. Its totient is φ = 12267147589632.

The previous prime is 47505015164507. The next prime is 47505015164549. The reversal of 47505015164520 is 2546151050574.

47505015164520 is a `hidden beast` number, since 4 + 7 + 5 + 0 + 50 + 15 + 1 + 64 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6591506757 + ... + 6591513963.

It is an arithmetic number, because the mean of its divisors is an integer number (414984562200).

Almost surely, 2^{47505015164520} is an apocalyptic number.

47505015164520 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 47505015164520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79677035942400).

47505015164520 is an abundant number, since it is smaller than the sum of its proper divisors (111849056720280).

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

47505015164520 is a wasteful number, since it uses less digits than its factorization.

47505015164520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729 (or 11722 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 47505015164520 in words is "forty-seven trillion, five hundred five billion, fifteen million, one hundred sixty-four thousand, five hundred twenty".