87349556224 has 88 divisors (see below), whose sum is σ = 200785611968. Its totient is φ = 37205360640.

The previous prime is 87349556183. The next prime is 87349556243. The reversal of 87349556224 is 42265594378.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1131004 + ... + 1205764.

Almost surely, 2^87349556224 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 87349556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100392805984).

87349556224 is an abundant number, since it is smaller than the sum of its proper divisors (113436055744).

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

87349556224 is a wasteful number, since it uses less digits than its factorization.

87349556224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74951 (or 74933 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 55.

The spelling of 87349556224 in words is "eighty-seven billion, three hundred forty-nine million, five hundred fifty-six thousand, two hundred twenty-four".