87109982640 has 240 divisors, whose sum is σ = 302620631040. Its totient is φ = 22432412160.

The previous prime is 87109982639. The next prime is 87109982647. The reversal of 87109982640 is 4628990178.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×87109982640² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87109982647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11223081 + ... + 11230839.

It is an arithmetic number, because the mean of its divisors is an integer number (1260919296).

Almost surely, 2^87109982640 is an apocalyptic number.

87109982640 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 87109982640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151310315520).

87109982640 is an abundant number, since it is smaller than the sum of its proper divisors (215510648400).

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

87109982640 is a wasteful number, since it uses less digits than its factorization.

87109982640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8303 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 87109982640 in words is "eighty-seven billion, one hundred nine million, nine hundred eighty-two thousand, six hundred forty".