26547978240 has 432 divisors, whose sum is σ = 105343737408. Its totient is φ = 6058672128.

The previous prime is 26547978239. The next prime is 26547978269. The reversal of 26547978240 is 4287974562.

26547978240 is a `hidden beast` number, since 2 + 6 + 547 + 9 + 78 + 24 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41287359 + ... + 41288001.

It is an arithmetic number, because the mean of its divisors is an integer number (243851244).

Almost surely, 2^26547978240 is an apocalyptic number.

26547978240 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 26547978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52671868704).

26547978240 is an abundant number, since it is smaller than the sum of its proper divisors (78795759168).

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

26547978240 is an frugal number, since it uses more digits than its factorization.

26547978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 26547978240 in words is "twenty-six billion, five hundred forty-seven million, nine hundred seventy-eight thousand, two hundred forty".