26249633280 has 640 divisors, whose sum is σ = 101633495040. Its totient is φ = 6383370240.

The previous prime is 26249633273. The next prime is 26249633297. The reversal of 26249633280 is 8233694262.

It is a happy number.

26249633280 is a `hidden beast` number, since 2 + 6 + 2 + 4 + 9 + 633 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117711249 + ... + 117711471.

It is an arithmetic number, because the mean of its divisors is an integer number (158802336).

Almost surely, 2^26249633280 is an apocalyptic number.

26249633280 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 26249633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50816747520).

26249633280 is an abundant number, since it is smaller than the sum of its proper divisors (75383861760).

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

26249633280 is a wasteful number, since it uses less digits than its factorization.

26249633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 26249633280 in words is "twenty-six billion, two hundred forty-nine million, six hundred thirty-three thousand, two hundred eighty".