26835225108480 has 1792 divisors, whose sum is σ = 106263755366400. Its totient is φ = 6390483517440.

The previous prime is 26835225108431. The next prime is 26835225108481. The reversal of 26835225108480 is 8480152253862.

26835225108480 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 52 + 2 + 5 + 108 + 480 = 666.

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 (26835225108481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99022970745 + ... + 99022971015.

Almost surely, 2^{26835225108480} is an apocalyptic number.

26835225108480 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 26835225108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53131877683200).

26835225108480 is an abundant number, since it is smaller than the sum of its proper divisors (79428530257920).

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

26835225108480 is a wasteful number, since it uses less digits than its factorization.

26835225108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 26835225108480 in words is "twenty-six trillion, eight hundred thirty-five billion, two hundred twenty-five million, one hundred eight thousand, four hundred eighty".