26026251440640 has 320 divisors, whose sum is σ = 90780725376000. Its totient is φ = 6308409098240.

The previous prime is 26026251440621. The next prime is 26026251440653. The reversal of 26026251440640 is 4604415262062.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 26026251440592 and 26026251440601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642619111 + ... + 642659609.

It is an arithmetic number, because the mean of its divisors is an integer number (283689766800).

Almost surely, 2^{26026251440640} is an apocalyptic number.

26026251440640 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 26026251440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45390362688000).

26026251440640 is an abundant number, since it is smaller than the sum of its proper divisors (64754473935360).

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

26026251440640 is a wasteful number, since it uses less digits than its factorization.

26026251440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48143 (or 48127 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 26026251440640 in words is "twenty-six trillion, twenty-six billion, two hundred fifty-one million, four hundred forty thousand, six hundred forty".