11129962464480 has 96 divisors (see below), whose sum is σ = 36268326007200. Its totient is φ = 2865645504512.

The previous prime is 11129962464479. The next prime is 11129962464487. The reversal of 11129962464480 is 8446426992111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11129962464480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11129962464487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399769215 + ... + 399797054.

It is an arithmetic number, because the mean of its divisors is an integer number (377795062575).

Almost surely, 2^{11129962464480} is an apocalyptic number.

11129962464480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11129962464480 is an abundant number, since it is smaller than the sum of its proper divisors (25138363542720).

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

11129962464480 is a wasteful number, since it uses less digits than its factorization.

11129962464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799566316 (or 799566308 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 11129962464480 in words is "eleven trillion, one hundred twenty-nine billion, nine hundred sixty-two million, four hundred sixty-four thousand, four hundred eighty".