11134952081280 has 512 divisors, whose sum is σ = 41255149132800. Its totient is φ = 2833025310720.

The previous prime is 11134952081261. The next prime is 11134952081287. The reversal of 11134952081280 is 8218025943111.

11134952081280 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 49 + 520 + 8 + 1 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134952081287) 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, 157748395 + ... + 157818965.

It is an arithmetic number, because the mean of its divisors is an integer number (80576463150).

Almost surely, 2^{11134952081280} is an apocalyptic number.

11134952081280 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 11134952081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20627574566400).

11134952081280 is an abundant number, since it is smaller than the sum of its proper divisors (30120197051520).

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

11134952081280 is a wasteful number, since it uses less digits than its factorization.

11134952081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71019 (or 71001 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11134952081280 in words is "eleven trillion, one hundred thirty-four billion, nine hundred fifty-two million, eighty-one thousand, two hundred eighty".