87872008688640 has 3168 divisors, whose sum is σ = 377497225297920. Its totient is φ = 19510419456000.

The previous prime is 87872008688623. The next prime is 87872008688689. The reversal of 87872008688640 is 4688680027878.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 88670038545 + ... + 88670039535.

Almost surely, 2^{87872008688640} is an apocalyptic number.

87872008688640 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 87872008688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188748612648960).

87872008688640 is an abundant number, since it is smaller than the sum of its proper divisors (289625216609280).

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

87872008688640 is a wasteful number, since it uses less digits than its factorization.

87872008688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 87872008688640 in words is "eighty-seven trillion, eight hundred seventy-two billion, eight million, six hundred eighty-eight thousand, six hundred forty".