11000976882240 has 448 divisors, whose sum is σ = 37487569895424. Its totient is φ = 2728592842752.

The previous prime is 11000976882239. The next prime is 11000976882241. The reversal of 11000976882240 is 4228867900011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11000976882239) and next prime (11000976882241).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11000976882240.

It is not an unprimeable number, because it can be changed into a prime (11000976882241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71709297 + ... + 71862543.

Almost surely, 2^{11000976882240} is an apocalyptic number.

11000976882240 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 11000976882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18743784947712).

11000976882240 is an abundant number, since it is smaller than the sum of its proper divisors (26486593013184).

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

11000976882240 is a wasteful number, since it uses less digits than its factorization.

11000976882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153394 (or 153384 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 11000976882240 in words is "eleven trillion, nine hundred seventy-six million, eight hundred eighty-two thousand, two hundred forty".