86047593408 has 280 divisors, whose sum is σ = 292790770272. Its totient is φ = 24477106176.

The previous prime is 86047593337. The next prime is 86047593439. The reversal of 86047593408 is 80439574068.

86047593408 is a `hidden beast` number, since 8 + 6 + 0 + 4 + 7 + 593 + 40 + 8 = 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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8450016 + ... + 8460192.

Almost surely, 2^86047593408 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 86047593408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146395385136).

86047593408 is an abundant number, since it is smaller than the sum of its proper divisors (206743176864).

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

86047593408 is a wasteful number, since it uses less digits than its factorization.

86047593408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10441 (or 10422 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 86047593408 in words is "eighty-six billion, forty-seven million, five hundred ninety-three thousand, four hundred eight".