86649161040 has 480 divisors, whose sum is σ = 333341998080. Its totient is φ = 19994148864.

The previous prime is 86649161009. The next prime is 86649161069. The reversal of 86649161040 is 4016194668.

86649161040 is a `hidden beast` number, since 8 + 66 + 491 + 61 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17247969 + ... + 17252991.

It is an arithmetic number, because the mean of its divisors is an integer number (694462496).

Almost surely, 2^86649161040 is an apocalyptic number.

86649161040 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 86649161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166670999040).

86649161040 is an abundant number, since it is smaller than the sum of its proper divisors (246692837040).

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

86649161040 is a wasteful number, since it uses less digits than its factorization.

86649161040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 86649161040 in words is "eighty-six billion, six hundred forty-nine million, one hundred sixty-one thousand, forty".