87519059936 has 432 divisors, whose sum is σ = 229020190560. Its totient is φ = 32784998400.

The previous prime is 87519059867. The next prime is 87519059959. The reversal of 87519059936 is 63995091578.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 983360180 + ... + 983360268.

It is an arithmetic number, because the mean of its divisors is an integer number (530139330).

Almost surely, 2^87519059936 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 87519059936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114510095280).

87519059936 is an abundant number, since it is smaller than the sum of its proper divisors (141501130624).

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

87519059936 is a wasteful number, since it uses less digits than its factorization.

87519059936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 62.

The spelling of 87519059936 in words is "eighty-seven billion, five hundred nineteen million, fifty-nine thousand, nine hundred thirty-six".