26649028224000 has 1056 divisors, whose sum is σ = 118193346625536. Its totient is φ = 5622629990400.

The previous prime is 26649028223963. The next prime is 26649028224011. The reversal of 26649028224000 is 42282094662.

26649028224000 is a `hidden beast` number, since 2 + 66 + 490 + 2 + 82 + 24 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104704897 + ... + 104959103.

Almost surely, 2^{26649028224000} is an apocalyptic number.

26649028224000 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 26649028224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59096673312768).

26649028224000 is an abundant number, since it is smaller than the sum of its proper divisors (91544318401536).

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

26649028224000 is a wasteful number, since it uses less digits than its factorization.

26649028224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254268 (or 254237 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 26649028224000 in words is "twenty-six trillion, six hundred forty-nine billion, twenty-eight million, two hundred twenty-four thousand".