11726225280 has 768 divisors, whose sum is σ = 52744608000. Its totient is φ = 2434682880.

The previous prime is 11726225267. The next prime is 11726225293. The reversal of 11726225280 is 8252262711.

It is a happy number.

11726225280 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 622 + 5 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11726225267) and next prime (11726225293).

It is a super-2 number, since 2×11726225280² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9313291 + ... + 9314549.

It is an arithmetic number, because the mean of its divisors is an integer number (68677875).

Almost surely, 2^11726225280 is an apocalyptic number.

11726225280 is a gapful number since it is divisible by the number (10) 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 11726225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26372304000).

11726225280 is an abundant number, since it is smaller than the sum of its proper divisors (41018382720).

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

11726225280 is a wasteful number, since it uses less digits than its factorization.

11726225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 11726225280 its reverse (8252262711), we get a palindrome (19978487991).

The spelling of 11726225280 in words is "eleven billion, seven hundred twenty-six million, two hundred twenty-five thousand, two hundred eighty".