26791554240 has 336 divisors, whose sum is σ = 101336002560. Its totient is φ = 6442813440.

The previous prime is 26791554217. The next prime is 26791554247. The reversal of 26791554240 is 4245519762.

26791554240 is a `hidden beast` number, since 2 + 6 + 7 + 91 + 554 + 2 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26791554247) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4020031 + ... + 4026689.

Almost surely, 2^26791554240 is an apocalyptic number.

26791554240 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 26791554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50668001280).

26791554240 is an abundant number, since it is smaller than the sum of its proper divisors (74544448320).

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

26791554240 is a wasteful number, since it uses less digits than its factorization.

26791554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 6807 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 26791554240 in words is "twenty-six billion, seven hundred ninety-one million, five hundred fifty-four thousand, two hundred forty".