11427592962240 has 3024 divisors, whose sum is σ = 53439336490176. Its totient is φ = 2182077480960.

The previous prime is 11427592962221. The next prime is 11427592962299. The reversal of 11427592962240 is 4226929572411.

11427592962240 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 7 + 5 + 9 + 2 + 9 + 622 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 72787216242 + ... + 72787216398.

Almost surely, 2^{11427592962240} is an apocalyptic number.

11427592962240 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 11427592962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26719668245088).

11427592962240 is an abundant number, since it is smaller than the sum of its proper divisors (42011743527936).

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

11427592962240 is a wasteful number, since it uses less digits than its factorization.

11427592962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11427592962240 in words is "eleven trillion, four hundred twenty-seven billion, five hundred ninety-two million, nine hundred sixty-two thousand, two hundred forty".