26298864889920 has 3136 divisors, whose sum is σ = 119911382630400. Its totient is φ = 5354884546560.

The previous prime is 26298864889853. The next prime is 26298864889963. The reversal of 26298864889920 is 2998846889262.

26298864889920 is a `hidden beast` number, since 2 + 6 + 29 + 8 + 8 + 6 + 488 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 26298864889920.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 35587096911 + ... + 35587097649.

Almost surely, 2^{26298864889920} is an apocalyptic number.

26298864889920 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 26298864889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59955691315200).

26298864889920 is an abundant number, since it is smaller than the sum of its proper divisors (93612517740480).

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

26298864889920 is a wasteful number, since it uses less digits than its factorization.

26298864889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 3439853568, while the sum is 81.

The spelling of 26298864889920 in words is "twenty-six trillion, two hundred ninety-eight billion, eight hundred sixty-four million, eight hundred eighty-nine thousand, nine hundred twenty".