87871059394560 has 1600 divisors, whose sum is σ = 343263726590400. Its totient is φ = 21464686264320.

The previous prime is 87871059394507. The next prime is 87871059394567. The reversal of 87871059394560 is 6549395017878.

87871059394560 is a `hidden beast` number, since 8 + 7 + 8 + 7 + 1 + 0 + 59 + 3 + 9 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (87871059394567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 670771445695 + ... + 670771445825.

It is an arithmetic number, because the mean of its divisors is an integer number (214539829119).

Almost surely, 2^{87871059394560} is an apocalyptic number.

87871059394560 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 87871059394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171631863295200).

87871059394560 is an abundant number, since it is smaller than the sum of its proper divisors (255392667195840).

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

87871059394560 is an frugal number, since it uses more digits than its factorization.

87871059394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 87871059394560 in words is "eighty-seven trillion, eight hundred seventy-one billion, fifty-nine million, three hundred ninety-four thousand, five hundred sixty".