87360890093568 has 3600 divisors, whose sum is σ = 355461690176320. Its totient is φ = 21237655928832.

The previous prime is 87360890093537. The next prime is 87360890093629. The reversal of 87360890093568 is 86539009806378.

87360890093568 is a `hidden beast` number, since 8 + 7 + 3 + 608 + 9 + 0 + 0 + 9 + 3 + 5 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 87360890093496 and 87360890093505.

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 239 ways as a sum of consecutive naturals, for example, 2361105137646 + ... + 2361105137682.

Almost surely, 2^{87360890093568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87360890093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177730845088160).

87360890093568 is an abundant number, since it is smaller than the sum of its proper divisors (268100800082752).

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

87360890093568 is an frugal number, since it uses more digits than its factorization.

87360890093568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 87360890093568 in words is "eighty-seven trillion, three hundred sixty billion, eight hundred ninety million, ninety-three thousand, five hundred sixty-eight".