87178698720 has 144 divisors (see below), whose sum is σ = 297816114960. Its totient is φ = 23222740992.

The previous prime is 87178698713. The next prime is 87178698727. The reversal of 87178698720 is 2789687178.

It is an interprime number because it is at equal distance from previous prime (87178698713) and next prime (87178698727).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87178698727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1331716 + ... + 1395644.

It is an arithmetic number, because the mean of its divisors is an integer number (2068167465).

Almost surely, 2^87178698720 is an apocalyptic number.

87178698720 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 87178698720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148908057480).

87178698720 is an abundant number, since it is smaller than the sum of its proper divisors (210637416240).

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

87178698720 is a wasteful number, since it uses less digits than its factorization.

87178698720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64897 (or 64886 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 87178698720 in words is "eighty-seven billion, one hundred seventy-eight million, six hundred ninety-eight thousand, seven hundred twenty".