87871857056640 has 384 divisors, whose sum is σ = 314734480744320. Its totient is φ = 23427749283840.

The previous prime is 87871857056609. The next prime is 87871857056647. The reversal of 87871857056640 is 4665075817878.

It is a happy number.

87871857056640 is a `hidden beast` number, since 8 + 7 + 8 + 7 + 1 + 8 + 57 + 0 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87871857056647) 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, 804139287 + ... + 804248553.

It is an arithmetic number, because the mean of its divisors is an integer number (819621043605).

Almost surely, 2^{87871857056640} is an apocalyptic number.

87871857056640 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 87871857056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157367240372160).

87871857056640 is an abundant number, since it is smaller than the sum of its proper divisors (226862623687680).

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

87871857056640 is a wasteful number, since it uses less digits than its factorization.

87871857056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114472 (or 114448 counting only the distinct ones).

The product of its (nonzero) digits is 632217600, while the sum is 72.

The spelling of 87871857056640 in words is "eighty-seven trillion, eight hundred seventy-one billion, eight hundred fifty-seven million, fifty-six thousand, six hundred forty".