86573782224 has 240 divisors, whose sum is σ = 266001974784. Its totient is φ = 26200627200.

The previous prime is 86573782223. The next prime is 86573782271. The reversal of 86573782224 is 42228737568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86573782223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5015689 + ... + 5032919.

Almost surely, 2^86573782224 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 86573782224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133000987392).

86573782224 is an abundant number, since it is smaller than the sum of its proper divisors (179428192560).

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

86573782224 is a wasteful number, since it uses less digits than its factorization.

86573782224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17346 (or 17337 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

It can be divided in two parts, 8657 and 3782224, that added together give a triangular number (3790881 = T₂₇₅₃).

The spelling of 86573782224 in words is "eighty-six billion, five hundred seventy-three million, seven hundred eighty-two thousand, two hundred twenty-four".