86638224960 has 504 divisors, whose sum is σ = 348558023736. Its totient is φ = 19694223360.

The previous prime is 86638224949. The next prime is 86638224979. The reversal of 86638224960 is 6942283668.

It can be written as a sum of positive squares in 4 ways, for example, as 399680064 + 86238544896 = 19992^2 + 293664^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 86638224897 and 86638224906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27234570 + ... + 27237750.

Almost surely, 2^86638224960 is an apocalyptic number.

86638224960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86638224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174279011868).

86638224960 is an abundant number, since it is smaller than the sum of its proper divisors (261919798776).

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

86638224960 is a wasteful number, since it uses less digits than its factorization.

86638224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 86638224960 in words is "eighty-six billion, six hundred thirty-eight million, two hundred twenty-four thousand, nine hundred sixty".