26407644652260 has 144 divisors (see below), whose sum is σ = 81235949034240. Its totient is φ = 6942716352000.

The previous prime is 26407644652223. The next prime is 26407644652261. The reversal of 26407644652260 is 6225644670462.

26407644652260 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 76 + 4 + 46 + 522 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26407644652197 and 26407644652206.

It is not an unprimeable number, because it can be changed into a prime (26407644652261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8352760 + ... + 11071760.

It is an arithmetic number, because the mean of its divisors is an integer number (564138534960).

Almost surely, 2^{26407644652260} is an apocalyptic number.

26407644652260 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 26407644652260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40617974517120).

26407644652260 is an abundant number, since it is smaller than the sum of its proper divisors (54828304381980).

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

26407644652260 is a wasteful number, since it uses less digits than its factorization.

26407644652260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719778 (or 2719773 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 26407644652260 in words is "twenty-six trillion, four hundred seven billion, six hundred forty-four million, six hundred fifty-two thousand, two hundred sixty".