26129142720 has 168 divisors, whose sum is σ = 90036426480. Its totient is φ = 6955130880.

The previous prime is 26129142679. The next prime is 26129142737. The reversal of 26129142720 is 2724192162.

26129142720 is a `hidden beast` number, since 2 + 612 + 9 + 14 + 2 + 7 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1636536 + ... + 1652424.

It is an arithmetic number, because the mean of its divisors is an integer number (535931110).

Almost surely, 2^26129142720 is an apocalyptic number.

26129142720 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 26129142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45018213240).

26129142720 is an abundant number, since it is smaller than the sum of its proper divisors (63907283760).

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

26129142720 is a wasteful number, since it uses less digits than its factorization.

26129142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16483 (or 16470 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 26129142720 in words is "twenty-six billion, one hundred twenty-nine million, one hundred forty-two thousand, seven hundred twenty".