87600660480 has 480 divisors, whose sum is σ = 314069184000. Its totient is φ = 22573744128.

The previous prime is 87600660439. The next prime is 87600660523. The reversal of 87600660480 is 8406600678.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1108869081 + ... + 1108869159.

It is an arithmetic number, because the mean of its divisors is an integer number (654310800).

Almost surely, 2^87600660480 is an apocalyptic number.

87600660480 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 87600660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157034592000).

87600660480 is an abundant number, since it is smaller than the sum of its proper divisors (226468523520).

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

87600660480 is an frugal number, since it uses more digits than its factorization.

87600660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 87600660480 in words is "eighty-seven billion, six hundred million, six hundred sixty thousand, four hundred eighty".