26284945500 has 576 divisors, whose sum is σ = 95473437696. Its totient is φ = 6259680000.

The previous prime is 26284945487. The next prime is 26284945517. The reversal of 26284945500 is 554948262.

26284945500 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 4 + 94 + 550 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94891362 + ... + 94891638.

It is an arithmetic number, because the mean of its divisors is an integer number (165752496).

Almost surely, 2^26284945500 is an apocalyptic number.

26284945500 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 26284945500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47736718848).

26284945500 is an abundant number, since it is smaller than the sum of its proper divisors (69188492196).

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

26284945500 is a wasteful number, since it uses less digits than its factorization.

26284945500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 26284945500 in words is "twenty-six billion, two hundred eighty-four million, nine hundred forty-five thousand, five hundred".