11275242048000 has 1920 divisors, whose sum is σ = 49795439316480. Its totient is φ = 2394626457600.

The previous prime is 11275242047959. The next prime is 11275242048067. The reversal of 11275242048000 is 84024257211.

11275242048000 is a `hidden beast` number, since 1 + 127 + 52 + 4 + 2 + 0 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4060222612 + ... + 4060225388.

It is an arithmetic number, because the mean of its divisors is an integer number (25935124644).

Almost surely, 2^{11275242048000} is an apocalyptic number.

11275242048000 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 11275242048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24897719658240).

11275242048000 is an abundant number, since it is smaller than the sum of its proper divisors (38520197268480).

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

11275242048000 is a wasteful number, since it uses less digits than its factorization.

11275242048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

It can be divided in two parts, 1127524 and 2048000, that added together give a square (3175524 = 1782²).

The spelling of 11275242048000 in words is "eleven trillion, two hundred seventy-five billion, two hundred forty-two million, forty-eight thousand".