11252546310960 has 1280 divisors, whose sum is σ = 42522278400000. Its totient is φ = 2724553359360.

The previous prime is 11252546310923. The next prime is 11252546310983. The reversal of 11252546310960 is 6901364525211.

It is a happy number.

11252546310960 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 2 + 5 + 4 + 631 + 0 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×11252546310960² (a number of 27 digits) contains 22 as substring.

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

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 255 ways as a sum of consecutive naturals, for example, 32242252866 + ... + 32242253214.

It is an arithmetic number, because the mean of its divisors is an integer number (33220530000).

Almost surely, 2^{11252546310960} is an apocalyptic number.

11252546310960 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 11252546310960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21261139200000).

11252546310960 is an abundant number, since it is smaller than the sum of its proper divisors (31269732089040).

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

11252546310960 is a wasteful number, since it uses less digits than its factorization.

11252546310960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 11252546310960 in words is "eleven trillion, two hundred fifty-two billion, five hundred forty-six million, three hundred ten thousand, nine hundred sixty".