26528972800 has 276 divisors, whose sum is σ = 74893483296. Its totient is φ = 9227468800.

The previous prime is 26528972791. The next prime is 26528972801. The reversal of 26528972800 is 827982562.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26528972801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1153433589 + ... + 1153433611.

Almost surely, 2^26528972800 is an apocalyptic number.

26528972800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26528972800 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26528972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37446741648).

26528972800 is an abundant number, since it is smaller than the sum of its proper divisors (48364510496).

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

26528972800 is an frugal number, since it uses more digits than its factorization.

26528972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 26528972800 in words is "twenty-six billion, five hundred twenty-eight million, nine hundred seventy-two thousand, eight hundred".