87871466400 has 72 divisors (see below), whose sum is σ = 286021630944. Its totient is φ = 23432390400.

The previous prime is 87871466369. The next prime is 87871466401. The reversal of 87871466400 is 466417878.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87871466401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18304156 + ... + 18308955.

It is an arithmetic number, because the mean of its divisors is an integer number (3972522652).

Almost surely, 2^87871466400 is an apocalyptic number.

87871466400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87871466400 is an abundant number, since it is smaller than the sum of its proper divisors (198150164544).

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

87871466400 is a wasteful number, since it uses less digits than its factorization.

87871466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36613134 (or 36613121 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 87871466400 in words is "eighty-seven billion, eight hundred seventy-one million, four hundred sixty-six thousand, four hundred".