87668193761280 has 576 divisors, whose sum is σ = 348909787699200. Its totient is φ = 20134317588480.

The previous prime is 87668193761273. The next prime is 87668193761287. The reversal of 87668193761280 is 8216739186678.

87668193761280 is a `hidden beast` number, since 8 + 76 + 68 + 1 + 9 + 376 + 128 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87668193761273) and next prime (87668193761287).

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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 87668193761199 and 87668193761208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87668193761287) 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, 16985697 + ... + 21537183.

It is an arithmetic number, because the mean of its divisors is an integer number (605746159200).

Almost surely, 2^{87668193761280} is an apocalyptic number.

87668193761280 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 87668193761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174454893849600).

87668193761280 is an abundant number, since it is smaller than the sum of its proper divisors (261241593937920).

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

87668193761280 is a wasteful number, since it uses less digits than its factorization.

87668193761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4551550 (or 4551527 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 87668193761280 in words is "eighty-seven trillion, six hundred sixty-eight billion, one hundred ninety-three million, seven hundred sixty-one thousand, two hundred eighty".