11285912550552 has 256 divisors, whose sum is σ = 31401947704320. Its totient is φ = 3361952563200.

The previous prime is 11285912550533. The next prime is 11285912550607. The reversal of 11285912550552 is 25505521958211.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 11285912550495 and 11285912550504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1439342152 + ... + 1439349992.

It is an arithmetic number, because the mean of its divisors is an integer number (122663858220).

Almost surely, 2^{11285912550552} is an apocalyptic number.

11285912550552 is a gapful number since it is divisible by the number (12) 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 11285912550552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700973852160).

11285912550552 is an abundant number, since it is smaller than the sum of its proper divisors (20116035153768).

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

11285912550552 is a wasteful number, since it uses less digits than its factorization.

11285912550552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 51.

The spelling of 11285912550552 in words is "eleven trillion, two hundred eighty-five billion, nine hundred twelve million, five hundred fifty thousand, five hundred fifty-two".