87415437312 has 288 divisors, whose sum is σ = 292523343840. Its totient is φ = 24631050240.

The previous prime is 87415437281. The next prime is 87415437359. The reversal of 87415437312 is 21373451478.

87415437312 is a `hidden beast` number, since 8 + 74 + 1 + 543 + 7 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 9414112 + ... + 9423392.

It is an arithmetic number, because the mean of its divisors is an integer number (1015706055).

Almost surely, 2^87415437312 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 87415437312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146261671920).

87415437312 is an abundant number, since it is smaller than the sum of its proper divisors (205107906528).

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

87415437312 is a wasteful number, since it uses less digits than its factorization.

87415437312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9389 (or 9366 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 87415437312 in words is "eighty-seven billion, four hundred fifteen million, four hundred thirty-seven thousand, three hundred twelve".