26458881120 has 384 divisors, whose sum is σ = 106895738880. Its totient is φ = 5987174400.

The previous prime is 26458881109. The next prime is 26458881143. The reversal of 26458881120 is 2118885462.

26458881120 is a `hidden beast` number, since 2 + 6 + 458 + 88 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3049909 + ... + 3058571.

It is an arithmetic number, because the mean of its divisors is an integer number (278374320).

Almost surely, 2^26458881120 is an apocalyptic number.

26458881120 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 26458881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53447869440).

26458881120 is an abundant number, since it is smaller than the sum of its proper divisors (80436857760).

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

26458881120 is a wasteful number, since it uses less digits than its factorization.

26458881120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8795 (or 8781 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 26458881120 in words is "twenty-six billion, four hundred fifty-eight million, eight hundred eighty-one thousand, one hundred twenty".