26768426851656 has 384 divisors, whose sum is σ = 90505239552000. Its totient is φ = 7401402630720.

The previous prime is 26768426851651. The next prime is 26768426851657. The reversal of 26768426851656 is 65615862486762.

26768426851656 is a `hidden beast` number, since 2 + 6 + 7 + 6 + 8 + 42 + 68 + 516 + 5 + 6 = 666.

It is a super-2 number, since 2×26768426851656² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (26768426851651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20023051 + ... + 21318053.

It is an arithmetic number, because the mean of its divisors is an integer number (235690728000).

Almost surely, 2^{26768426851656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26768426851656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45252619776000).

26768426851656 is an abundant number, since it is smaller than the sum of its proper divisors (63736812700344).

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

26768426851656 is a wasteful number, since it uses less digits than its factorization.

26768426851656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295076 (or 1295046 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 26768426851656 in words is "twenty-six trillion, seven hundred sixty-eight billion, four hundred twenty-six million, eight hundred fifty-one thousand, six hundred fifty-six".