26843872646880 has 384 divisors, whose sum is σ = 95942663308800. Its totient is φ = 7007822438400.

The previous prime is 26843872646867. The next prime is 26843872646971. The reversal of 26843872646880 is 8864627834862.

26843872646880 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 3 + 87 + 2 + 6 + 468 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26843872646799 and 26843872646808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61207575 + ... + 61644585.

It is an arithmetic number, because the mean of its divisors is an integer number (249850685700).

Almost surely, 2^{26843872646880} is an apocalyptic number.

26843872646880 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 26843872646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47971331654400).

26843872646880 is an abundant number, since it is smaller than the sum of its proper divisors (69098790661920).

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

26843872646880 is a wasteful number, since it uses less digits than its factorization.

26843872646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437335 (or 437321 counting only the distinct ones).

The product of its (nonzero) digits is 1189085184, while the sum is 72.

The spelling of 26843872646880 in words is "twenty-six trillion, eight hundred forty-three billion, eight hundred seventy-two million, six hundred forty-six thousand, eight hundred eighty".