47628587520 has 160 divisors (see below), whose sum is σ = 169180957440. Its totient is φ = 12700938240.

The previous prime is 47628587509. The next prime is 47628587521. The reversal of 47628587520 is 2578582674.

47628587520 is a `hidden beast` number, since 4 + 7 + 6 + 2 + 8 + 587 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47628587521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275416 + ... + 413655.

It is an arithmetic number, because the mean of its divisors is an integer number (1057380984).

Almost surely, 2^47628587520 is an apocalyptic number.

47628587520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47628587520 is an abundant number, since it is smaller than the sum of its proper divisors (121552369920).

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

47628587520 is an equidigital number, since it uses as much as digits as its factorization.

47628587520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689103 (or 689081 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 47628587520 in words is "forty-seven billion, six hundred twenty-eight million, five hundred eighty-seven thousand, five hundred twenty".