11000268420192 has 96 divisors (see below), whose sum is σ = 32314937558400. Its totient is φ = 3640376559744.

The previous prime is 11000268420149. The next prime is 11000268420209. The reversal of 11000268420192 is 29102486200011.

11000268420192 is a `hidden beast` number, since 1 + 100 + 0 + 268 + 4 + 201 + 92 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 45677718 + ... + 45917909.

It is an arithmetic number, because the mean of its divisors is an integer number (336613932900).

Almost surely, 2^{11000268420192} is an apocalyptic number.

11000268420192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000268420192 is an abundant number, since it is smaller than the sum of its proper divisors (21314669138208).

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

11000268420192 is a wasteful number, since it uses less digits than its factorization.

11000268420192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91595785 (or 91595771 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11000268420192 in words is "eleven trillion, two hundred sixty-eight million, four hundred twenty thousand, one hundred ninety-two".