26093456887968 has 384 divisors, whose sum is σ = 82002189024000. Its totient is φ = 8042166190080.

The previous prime is 26093456887957. The next prime is 26093456887973. The reversal of 26093456887968 is 86978865439062.

It is a happy number.

26093456887968 is a `hidden beast` number, since 2 + 6 + 0 + 93 + 456 + 8 + 8 + 79 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1446333028 + ... + 1446351068.

It is an arithmetic number, because the mean of its divisors is an integer number (213547367250).

Almost surely, 2^{26093456887968} 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 26093456887968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41001094512000).

26093456887968 is an abundant number, since it is smaller than the sum of its proper divisors (55908732136032).

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

26093456887968 is a wasteful number, since it uses less digits than its factorization.

26093456887968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19805 (or 19791 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 81.

The spelling of 26093456887968 in words is "twenty-six trillion, ninety-three billion, four hundred fifty-six million, eight hundred eighty-seven thousand, nine hundred sixty-eight".