87873690009600 has 2736 divisors, whose sum is σ = 376788440710656. Its totient is φ = 19327352832000.

The previous prime is 87873690009563. The next prime is 87873690009643. The reversal of 87873690009600 is 690009637878.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 341920972672 + ... + 341920972928.

Almost surely, 2^{87873690009600} is an apocalyptic number.

87873690009600 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 87873690009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188394220355328).

87873690009600 is an abundant number, since it is smaller than the sum of its proper divisors (288914750701056).

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

87873690009600 is a wasteful number, since it uses less digits than its factorization.

87873690009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 87873690009600 in words is "eighty-seven trillion, eight hundred seventy-three billion, six hundred ninety million, nine thousand, six hundred".