26630829000 has 256 divisors, whose sum is σ = 95301273600. Its totient is φ = 6872256000.

The previous prime is 26630828977. The next prime is 26630829011. The reversal of 26630829000 is 92803662.

26630829000 is a `hidden beast` number, since 2 + 66 + 308 + 290 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 821092 + ... + 852908.

It is an arithmetic number, because the mean of its divisors is an integer number (372270600).

Almost surely, 2^26630829000 is an apocalyptic number.

26630829000 is a gapful number since it is divisible by the number (20) 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 26630829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47650636800).

26630829000 is an abundant number, since it is smaller than the sum of its proper divisors (68670444600).

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

26630829000 is a wasteful number, since it uses less digits than its factorization.

26630829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31878 (or 31858 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 26630829000 in words is "twenty-six billion, six hundred thirty million, eight hundred twenty-nine thousand".