26135330667840 has 896 divisors, whose sum is σ = 99886617600000. Its totient is φ = 6410543357952.

The previous prime is 26135330667811. The next prime is 26135330667857. The reversal of 26135330667840 is 4876603353162.

26135330667840 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 533 + 0 + 6 + 67 + 8 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3030881769 + ... + 3030890391.

It is an arithmetic number, because the mean of its divisors is an integer number (111480600000).

Almost surely, 2^{26135330667840} is an apocalyptic number.

26135330667840 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 26135330667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49943308800000).

26135330667840 is an abundant number, since it is smaller than the sum of its proper divisors (73751286932160).

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

26135330667840 is a wasteful number, since it uses less digits than its factorization.

26135330667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9204 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 26135330667840 in words is "twenty-six trillion, one hundred thirty-five billion, three hundred thirty million, six hundred sixty-seven thousand, eight hundred forty".