86987361510 has 256 divisors, whose sum is σ = 274681497600. Its totient is φ = 19166740992.

The previous prime is 86987361457. The next prime is 86987361529. The reversal of 86987361510 is 1516378968.

86987361510 is a `hidden beast` number, since 8 + 6 + 9 + 8 + 7 + 3 + 615 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 67799329 + ... + 67800611.

It is an arithmetic number, because the mean of its divisors is an integer number (1072974600).

Almost surely, 2^86987361510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86987361510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137340748800).

86987361510 is an abundant number, since it is smaller than the sum of its proper divisors (187694136090).

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

86987361510 is a wasteful number, since it uses less digits than its factorization.

86987361510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 86987361510 in words is "eighty-six billion, nine hundred eighty-seven million, three hundred sixty-one thousand, five hundred ten".