26189879040 has 1008 divisors, whose sum is σ = 108094307328. Its totient is φ = 6019743744.

The previous prime is 26189879029. The next prime is 26189879047. The reversal of 26189879040 is 4097898162.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26189879047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 206219457 + ... + 206219583.

It is an arithmetic number, because the mean of its divisors is an integer number (107236416).

Almost surely, 2^26189879040 is an apocalyptic number.

26189879040 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 26189879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54047153664).

26189879040 is an abundant number, since it is smaller than the sum of its proper divisors (81904428288).

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

26189879040 is a wasteful number, since it uses less digits than its factorization.

26189879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 26189879040 in words is "twenty-six billion, one hundred eighty-nine million, eight hundred seventy-nine thousand, forty".