47461187520 has 448 divisors, whose sum is σ = 178022707200. Its totient is φ = 11862097920.

The previous prime is 47461187461. The next prime is 47461187561. The reversal of 47461187520 is 2578116474.

47461187520 is a `hidden beast` number, since 4 + 7 + 4 + 6 + 118 + 7 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 45679161 + ... + 45680199.

Almost surely, 2^47461187520 is an apocalyptic number.

47461187520 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 47461187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89011353600).

47461187520 is an abundant number, since it is smaller than the sum of its proper divisors (130561519680).

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

47461187520 is a wasteful number, since it uses less digits than its factorization.

47461187520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 47461187520 in words is "forty-seven billion, four hundred sixty-one million, one hundred eighty-seven thousand, five hundred twenty".