87473502720 has 960 divisors, whose sum is σ = 343708358400. Its totient is φ = 21056716800.

The previous prime is 87473502679. The next prime is 87473502877. The reversal of 87473502720 is 2720537478.

87473502720 is a `hidden beast` number, since 8 + 7 + 4 + 73 + 502 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×87473502720² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 579294645 + ... + 579294795.

It is an arithmetic number, because the mean of its divisors is an integer number (358029540).

Almost surely, 2^87473502720 is an apocalyptic number.

87473502720 is a gapful number since it is divisible by the number (80) 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 87473502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171854179200).

87473502720 is an abundant number, since it is smaller than the sum of its proper divisors (256234855680).

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

87473502720 is a wasteful number, since it uses less digits than its factorization.

87473502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 87473502720 in words is "eighty-seven billion, four hundred seventy-three million, five hundred two thousand, seven hundred twenty".