11149124780640 has 768 divisors, whose sum is σ = 45724273459200. Its totient is φ = 2214282977280.

The previous prime is 11149124780623. The next prime is 11149124780641. The reversal of 11149124780640 is 4608742194111.

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 11149124780640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11149124780641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1316769687 + ... + 1316778153.

It is an arithmetic number, because the mean of its divisors is an integer number (59536814400).

Almost surely, 2^{11149124780640} is an apocalyptic number.

11149124780640 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 11149124780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22862136729600).

11149124780640 is an abundant number, since it is smaller than the sum of its proper divisors (34575148678560).

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

11149124780640 is a wasteful number, since it uses less digits than its factorization.

11149124780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075 (or 10067 counting only the distinct ones).

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

The spelling of 11149124780640 in words is "eleven trillion, one hundred forty-nine billion, one hundred twenty-four million, seven hundred eighty thousand, six hundred forty".