26372441088 has 528 divisors, whose sum is σ = 93347130240. Its totient is φ = 7000031232.

The previous prime is 26372441063. The next prime is 26372441089. The reversal of 26372441088 is 88014427362.

It is a happy number.

26372441088 is a `hidden beast` number, since 2 + 63 + 72 + 441 + 0 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (26372441089) 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 47 ways as a sum of consecutive naturals, for example, 152441770 + ... + 152441942.

Almost surely, 2^26372441088 is an apocalyptic number.

26372441088 is a gapful number since it is divisible by the number (28) 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 26372441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46673565120).

26372441088 is an abundant number, since it is smaller than the sum of its proper divisors (66974689152).

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

26372441088 is a wasteful number, since it uses less digits than its factorization.

26372441088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 26372441088 in words is "twenty-six billion, three hundred seventy-two million, four hundred forty-one thousand, eighty-eight".