26630248320 has 384 divisors, whose sum is σ = 100446091200. Its totient is φ = 6461521920.

The previous prime is 26630248313. The next prime is 26630248367. The reversal of 26630248320 is 2384203662.

26630248320 is a `hidden beast` number, since 2 + 66 + 30 + 248 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5313976 + ... + 5318984.

Almost surely, 2^26630248320 is an apocalyptic number.

26630248320 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 26630248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50223045600).

26630248320 is an abundant number, since it is smaller than the sum of its proper divisors (73815842880).

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

26630248320 is a wasteful number, since it uses less digits than its factorization.

26630248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 26630248320 in words is "twenty-six billion, six hundred thirty million, two hundred forty-eight thousand, three hundred twenty".