87201463680 has 576 divisors, whose sum is σ = 329441252400. Its totient is φ = 22009688064.

The previous prime is 87201463663. The next prime is 87201463691. The reversal of 87201463680 is 8636410278.

87201463680 is a `hidden beast` number, since 8 + 7 + 2 + 0 + 1 + 4 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 79781214 + ... + 79782306.

Almost surely, 2^87201463680 is an apocalyptic number.

87201463680 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 87201463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164720626200).

87201463680 is an abundant number, since it is smaller than the sum of its proper divisors (242239788720).

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

87201463680 is an equidigital number, since it uses as much as digits as its factorization.

87201463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1122 counting only the distinct ones).

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

The spelling of 87201463680 in words is "eighty-seven billion, two hundred one million, four hundred sixty-three thousand, six hundred eighty".