85887366510 has 384 divisors, whose sum is σ = 250178803200. Its totient is φ = 18646425600.

The previous prime is 85887366419. The next prime is 85887366511. The reversal of 85887366510 is 1566378858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85887366511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 479817601 + ... + 479817779.

It is an arithmetic number, because the mean of its divisors is an integer number (651507300).

Almost surely, 2^85887366510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85887366510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125089401600).

85887366510 is an abundant number, since it is smaller than the sum of its proper divisors (164291436690).

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

85887366510 is a wasteful number, since it uses less digits than its factorization.

85887366510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 85887366510 in words is "eighty-five billion, eight hundred eighty-seven million, three hundred sixty-six thousand, five hundred ten".