87136642957280 has 384 divisors, whose sum is σ = 250524804096000. Its totient is φ = 27958611050496.

The previous prime is 87136642957183. The next prime is 87136642957289. The reversal of 87136642957280 is 8275924663178.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a self number, because there is not a number n which added to its sum of digits gives 87136642957280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87136642957289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2385522377 + ... + 2385558903.

It is an arithmetic number, because the mean of its divisors is an integer number (652408344000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅87136642957280 = 174273285914560, but 3⋅87136642957280 = 261409928871840 is not.

Almost surely, 2^{87136642957280} is an apocalyptic number.

87136642957280 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 87136642957280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125262402048000).

87136642957280 is an abundant number, since it is smaller than the sum of its proper divisors (163388161138720).

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

87136642957280 is a wasteful number, since it uses less digits than its factorization.

87136642957280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37274 (or 37266 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 68.

The spelling of 87136642957280 in words is "eighty-seven trillion, one hundred thirty-six billion, six hundred forty-two million, nine hundred fifty-seven thousand, two hundred eighty".