26275803840 has 1344 divisors, whose sum is σ = 117426516480. Its totient is φ = 5494210560.

The previous prime is 26275803821. The next prime is 26275803871. The reversal of 26275803840 is 4830857262.

26275803840 is a `hidden beast` number, since 2 + 6 + 27 + 580 + 3 + 8 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 189034491 + ... + 189034629.

It is an arithmetic number, because the mean of its divisors is an integer number (87370920).

Almost surely, 2^26275803840 is an apocalyptic number.

26275803840 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 26275803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58713258240).

26275803840 is an abundant number, since it is smaller than the sum of its proper divisors (91150712640).

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

26275803840 is a wasteful number, since it uses less digits than its factorization.

26275803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 26275803840 in words is "twenty-six billion, two hundred seventy-five million, eight hundred three thousand, eight hundred forty".