27926026240 has 192 divisors, whose sum is σ = 76882478400. Its totient is φ = 9536667648.

The previous prime is 27926026217. The next prime is 27926026291. The reversal of 27926026240 is 4262062972.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 27926026193 and 27926026202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22721946 + ... + 22723174.

It is an arithmetic number, because the mean of its divisors is an integer number (400429575).

Almost surely, 2^27926026240 is an apocalyptic number.

27926026240 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 27926026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38441239200).

27926026240 is an abundant number, since it is smaller than the sum of its proper divisors (48956452160).

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

27926026240 is a wasteful number, since it uses less digits than its factorization.

27926026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 27926026240 in words is "twenty-seven billion, nine hundred twenty-six million, twenty-six thousand, two hundred forty".