26129601960 has 256 divisors, whose sum is σ = 97915392000. Its totient is φ = 5419315200.

The previous prime is 26129601947. The next prime is 26129602097. The reversal of 26129601960 is 6910692162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5532400 + ... + 5537120.

It is an arithmetic number, because the mean of its divisors is an integer number (382482000).

Almost surely, 2^26129601960 is an apocalyptic number.

26129601960 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 26129601960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48957696000).

26129601960 is an abundant number, since it is smaller than the sum of its proper divisors (71785790040).

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

26129601960 is a wasteful number, since it uses less digits than its factorization.

26129601960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 26129601960 in words is "twenty-six billion, one hundred twenty-nine million, six hundred one thousand, nine hundred sixty".