11250753145300 has 72 divisors (see below), whose sum is σ = 25352198964792. Its totient is φ = 4330393344000.

The previous prime is 11250753145217. The next prime is 11250753145339. The reversal of 11250753145300 is 354135705211.

It can be written as a sum of positive squares in 12 ways, for example, as 8726423218704 + 2524329926596 = 2954052^2 + 1588814^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11250753145300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18495811 + ... + 19094410.

It is an arithmetic number, because the mean of its divisors is an integer number (352113874511).

Almost surely, 2^{11250753145300} is an apocalyptic number.

11250753145300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11250753145300 is an abundant number, since it is smaller than the sum of its proper divisors (14101445819492).

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

11250753145300 is a wasteful number, since it uses less digits than its factorization.

11250753145300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37590349 (or 37590342 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The spelling of 11250753145300 in words is "eleven trillion, two hundred fifty billion, seven hundred fifty-three million, one hundred forty-five thousand, three hundred".