87862371103872 has 1280 divisors, whose sum is σ = 288571580035200. Its totient is φ = 26426897989632.

The previous prime is 87862371103847. The next prime is 87862371103907. The reversal of 87862371103872 is 27830117326878.

87862371103872 is a `hidden beast` number, since 8 + 7 + 8 + 6 + 237 + 1 + 10 + 387 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123924359454 + ... + 123924360162.

Almost surely, 2^{87862371103872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87862371103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144285790017600).

87862371103872 is an abundant number, since it is smaller than the sum of its proper divisors (200709208931328).

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

87862371103872 is a wasteful number, since it uses less digits than its factorization.

87862371103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 87862371103872 in words is "eighty-seven trillion, eight hundred sixty-two billion, three hundred seventy-one million, one hundred three thousand, eight hundred seventy-two".