87933118746240 has 384 divisors, whose sum is σ = 305131421509200. Its totient is φ = 23334115737600.

The previous prime is 87933118746227. The next prime is 87933118746241. The reversal of 87933118746240 is 4264781133978.

87933118746240 is a `hidden beast` number, since 8 + 7 + 9 + 3 + 311 + 8 + 74 + 6 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 55893805678656 + 32039313067584 = 7476216^2 + 5660328^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (87933118746241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1917026026 + ... + 1917071894.

Almost surely, 2^{87933118746240} is an apocalyptic number.

87933118746240 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 87933118746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152565710754600).

87933118746240 is an abundant number, since it is smaller than the sum of its proper divisors (217198302762960).

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

87933118746240 is a wasteful number, since it uses less digits than its factorization.

87933118746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47516 (or 47501 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 87933118746240 in words is "eighty-seven trillion, nine hundred thirty-three billion, one hundred eighteen million, seven hundred forty-six thousand, two hundred forty".