26651004800 has 192 divisors, whose sum is σ = 75914560800. Its totient is φ = 9055764480.

The previous prime is 26651004781. The next prime is 26651004833. The reversal of 26651004800 is 840015662.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2525936 + ... + 2536464.

Almost surely, 2^26651004800 is an apocalyptic number.

26651004800 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 26651004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37957280400).

26651004800 is an abundant number, since it is smaller than the sum of its proper divisors (49263556000).

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

26651004800 is a wasteful number, since it uses less digits than its factorization.

26651004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10673 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 26651004800 in words is "twenty-six billion, six hundred fifty-one million, four thousand, eight hundred".