87336504960 has 384 divisors, whose sum is σ = 289324224000. Its totient is φ = 22407266304.

The previous prime is 87336504911. The next prime is 87336504961. The reversal of 87336504960 is 6940563378.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (87336504961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391643409 + ... + 391643631.

It is an arithmetic number, because the mean of its divisors is an integer number (753448500).

Almost surely, 2^87336504960 is an apocalyptic number.

87336504960 is a gapful number since it is divisible by the number (80) 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 87336504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144662112000).

87336504960 is an abundant number, since it is smaller than the sum of its proper divisors (201987719040).

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

87336504960 is a wasteful number, since it uses less digits than its factorization.

87336504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 87336504960 in words is "eighty-seven billion, three hundred thirty-six million, five hundred four thousand, nine hundred sixty".