87452209824 has 144 divisors (see below), whose sum is σ = 271420190496. Its totient is φ = 24576652800.

The previous prime is 87452209787. The next prime is 87452209849. The reversal of 87452209824 is 42890225478.

It is a super-2 number, since 2×87452209824² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134559 + ... + 439329.

It is an arithmetic number, because the mean of its divisors is an integer number (1884862434).

Almost surely, 2^87452209824 is an apocalyptic number.

87452209824 is a gapful number since it is divisible by the number (84) 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 87452209824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135710095248).

87452209824 is an abundant number, since it is smaller than the sum of its proper divisors (183967980672).

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

87452209824 is a wasteful number, since it uses less digits than its factorization.

87452209824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304859 (or 304844 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 87452209824 in words is "eighty-seven billion, four hundred fifty-two million, two hundred nine thousand, eight hundred twenty-four".