26730668250 has 768 divisors, whose sum is σ = 93756289536. Its totient is φ = 5598720000.

The previous prime is 26730668123. The next prime is 26730668257. The reversal of 26730668250 is 5286603762.

It is a happy number.

26730668250 is a `hidden beast` number, since 267 + 306 + 6 + 82 + 5 + 0 = 666.

It is a super-3 number, since 3×26730668250³ (a number of 32 digits) contains 333 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 26730668196 and 26730668205.

It is not an unprimeable number, because it can be changed into a prime (26730668257) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 147683160 + ... + 147683340.

It is an arithmetic number, because the mean of its divisors is an integer number (122078502).

Almost surely, 2^26730668250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26730668250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46878144768).

26730668250 is an abundant number, since it is smaller than the sum of its proper divisors (67025621286).

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

26730668250 is a wasteful number, since it uses less digits than its factorization.

26730668250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 26730 and 668250, that multiplied together give a square (17862322500 = 133650²).

The spelling of 26730668250 in words is "twenty-six billion, seven hundred thirty million, six hundred sixty-eight thousand, two hundred fifty".