86766071490 has 96 divisors (see below), whose sum is σ = 257980694400. Its totient is φ = 19819821312.

The previous prime is 86766071489. The next prime is 86766071507. The reversal of 86766071490 is 9417066768.

It is a happy number.

86766071490 is a `hidden beast` number, since 86 + 7 + 6 + 6 + 0 + 71 + 490 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982686 + ... + 1067334.

It is an arithmetic number, because the mean of its divisors is an integer number (2687298900).

Almost surely, 2^86766071490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86766071490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128990347200).

86766071490 is an abundant number, since it is smaller than the sum of its proper divisors (171214622910).

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

86766071490 is a wasteful number, since it uses less digits than its factorization.

86766071490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86296 (or 86293 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 86766071490 in words is "eighty-six billion, seven hundred sixty-six million, seventy-one thousand, four hundred ninety".