26128633650 has 384 divisors, whose sum is σ = 84502020096. Its totient is φ = 5200588800.

The previous prime is 26128633637. The next prime is 26128633679. The reversal of 26128633650 is 5633682162.

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

It is a Curzon number.

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 191 ways as a sum of consecutive naturals, for example, 12726024 + ... + 12728076.

It is an arithmetic number, because the mean of its divisors is an integer number (220057344).

Almost surely, 2^26128633650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26128633650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42251010048).

26128633650 is an abundant number, since it is smaller than the sum of its proper divisors (58373386446).

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

26128633650 is a wasteful number, since it uses less digits than its factorization.

26128633650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 26128633650 in words is "twenty-six billion, one hundred twenty-eight million, six hundred thirty-three thousand, six hundred fifty".