26788625920 has 480 divisors, whose sum is σ = 80147745216. Its totient is φ = 8404992000.

The previous prime is 26788625911. The next prime is 26788625921. The reversal of 26788625920 is 2952688762.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26788625921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265233870 + ... + 265233970.

Almost surely, 2^26788625920 is an apocalyptic number.

26788625920 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 26788625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40073872608).

26788625920 is an abundant number, since it is smaller than the sum of its proper divisors (53359119296).

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

26788625920 is a wasteful number, since it uses less digits than its factorization.

26788625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 26788625920 in words is "twenty-six billion, seven hundred eighty-eight million, six hundred twenty-five thousand, nine hundred twenty".