87717901639680 has 1120 divisors, whose sum is σ = 358579301162544. Its totient is φ = 20321805533184.

The previous prime is 87717901639609. The next prime is 87717901639699. The reversal of 87717901639680 is 8693610971778.

87717901639680 is a `hidden beast` number, since 8 + 7 + 71 + 7 + 90 + 1 + 6 + 396 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42974003367936 + 44743898271744 = 6555456^2 + 6689088^2 .

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 = 87717901639599 and 87717901639608.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 733165144 + ... + 733284776.

Almost surely, 2^{87717901639680} is an apocalyptic number.

87717901639680 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 87717901639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179289650581272).

87717901639680 is an abundant number, since it is smaller than the sum of its proper divisors (270861399522864).

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

87717901639680 is a wasteful number, since it uses less digits than its factorization.

87717901639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119706 (or 119673 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 72.

The spelling of 87717901639680 in words is "eighty-seven trillion, seven hundred seventeen billion, nine hundred one million, six hundred thirty-nine thousand, six hundred eighty".