86282136990 has 96 divisors (see below), whose sum is σ = 256856124096. Its totient is φ = 19685099520.

The previous prime is 86282136979. The next prime is 86282137009. The reversal of 86282136990 is 9963128268.

86282136990 is a `hidden beast` number, since 8 + 628 + 2 + 1 + 3 + 6 + 9 + 9 + 0 = 666.

It is a super-2 number, since 2×86282136990² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214254 + ... + 467406.

It is an arithmetic number, because the mean of its divisors is an integer number (2675584626).

Almost surely, 2^86282136990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86282136990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128428062048).

86282136990 is an abundant number, since it is smaller than the sum of its proper divisors (170573987106).

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

86282136990 is a wasteful number, since it uses less digits than its factorization.

86282136990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253714 (or 253711 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

It can be divided in two parts, 862821 and 36990, that added together give a triangular number (899811 = T₁₃₄₁).

The spelling of 86282136990 in words is "eighty-six billion, two hundred eighty-two million, one hundred thirty-six thousand, nine hundred ninety".