87682080000000 has 768 divisors, whose sum is σ = 302325397920000. Its totient is φ = 22572032000000.

The previous prime is 87682079999977. The next prime is 87682080000061. The reversal of 87682080000000 is 8028678.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13919996851 + ... + 13920003149.

It is an arithmetic number, because the mean of its divisors is an integer number (393652861875).

Almost surely, 2^{87682080000000} is an apocalyptic number.

87682080000000 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 87682080000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151162698960000).

87682080000000 is an abundant number, since it is smaller than the sum of its proper divisors (214643317920000).

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

87682080000000 is an frugal number, since it uses more digits than its factorization.

87682080000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

Adding to 87682080000000 its reverse (8028678), we get a palindrome (87682088028678).

The spelling of 87682080000000 in words is "eighty-seven trillion, six hundred eighty-two billion, eighty million", and thus it is an aban number.