26281447920 has 600 divisors, whose sum is σ = 114367929984. Its totient is φ = 5544225792.

The previous prime is 26281447901. The next prime is 26281447943. The reversal of 26281447920 is 2974418262.

26281447920 is a `hidden beast` number, since 2 + 628 + 14 + 4 + 7 + 9 + 2 + 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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4124577 + ... + 4130943.

Almost surely, 2^26281447920 is an apocalyptic number.

26281447920 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 26281447920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57183964992).

26281447920 is an abundant number, since it is smaller than the sum of its proper divisors (88086482064).

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

26281447920 is a wasteful number, since it uses less digits than its factorization.

26281447920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26281447920 in words is "twenty-six billion, two hundred eighty-one million, four hundred forty-seven thousand, nine hundred twenty".