86478511350 has 192 divisors, whose sum is σ = 271380344832. Its totient is φ = 17701200000.

The previous prime is 86478511333. The next prime is 86478511373. The reversal of 86478511350 is 5311587468.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86478511350.

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 95 ways as a sum of consecutive naturals, for example, 717975 + ... + 829725.

It is an arithmetic number, because the mean of its divisors is an integer number (1413439296).

Almost surely, 2^86478511350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86478511350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135690172416).

86478511350 is an abundant number, since it is smaller than the sum of its proper divisors (184901833482).

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

86478511350 is a wasteful number, since it uses less digits than its factorization.

86478511350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111851 (or 111846 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 86478511350 in words is "eighty-six billion, four hundred seventy-eight million, five hundred eleven thousand, three hundred fifty".