26468297856 has 768 divisors, whose sum is σ = 106856668800. Its totient is φ = 6340239360.

The previous prime is 26468297827. The next prime is 26468297861. The reversal of 26468297856 is 65879286462.

26468297856 is a `hidden beast` number, since 2 + 6 + 468 + 2 + 97 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 26468297793 and 26468297802.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24215646 + ... + 24216738.

Almost surely, 2^26468297856 is an apocalyptic number.

26468297856 is a gapful number since it is divisible by the number (26) 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 26468297856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53428334400).

26468297856 is an abundant number, since it is smaller than the sum of its proper divisors (80388370944).

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

26468297856 is a wasteful number, since it uses less digits than its factorization.

26468297856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1129 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

It can be divided in two parts, 2646 and 8297856, that multiplied together give a square (21956126976 = 148176²).

The spelling of 26468297856 in words is "twenty-six billion, four hundred sixty-eight million, two hundred ninety-seven thousand, eight hundred fifty-six".