87968880720 has 960 divisors, whose sum is σ = 363512448000. Its totient is φ = 19029749760.

The previous prime is 87968880707. The next prime is 87968880721. The reversal of 87968880720 is 2708886978.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87968880721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 508490554 + ... + 508490726.

It is an arithmetic number, because the mean of its divisors is an integer number (378658800).

Almost surely, 2^87968880720 is an apocalyptic number.

87968880720 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 87968880720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181756224000).

87968880720 is an abundant number, since it is smaller than the sum of its proper divisors (275543567280).

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

87968880720 is a wasteful number, since it uses less digits than its factorization.

87968880720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 87968880720 in words is "eighty-seven billion, nine hundred sixty-eight million, eight hundred eighty thousand, seven hundred twenty".