8129001090 has 128 divisors (see below), whose sum is σ = 23761797120. Its totient is φ = 1739409408.

The previous prime is 8129001077. The next prime is 8129001103. The reversal of 8129001090 is 901009218.

It is an interprime number because it is at equal distance from previous prime (8129001077) and next prime (8129001103).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209106 + ... + 244914.

It is an arithmetic number, because the mean of its divisors is an integer number (185639040).

Almost surely, 2^8129001090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8129001090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11880898560).

8129001090 is an abundant number, since it is smaller than the sum of its proper divisors (15632796030).

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

8129001090 is a wasteful number, since it uses less digits than its factorization.

8129001090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35896.

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 8129001090 is about 90160.9732090332. The cubic root of 8129001090 is about 2010.6928207440.

The spelling of 8129001090 in words is "eight billion, one hundred twenty-nine million, one thousand, ninety".