11282997053952 has 640 divisors, whose sum is σ = 40087896710400. Its totient is φ = 3095486005248.

The previous prime is 11282997053947. The next prime is 11282997053953. The reversal of 11282997053952 is 25935079928211.

11282997053952 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 9 + 97 + 0 + 539 + 5 + 2 = 666.

It is a super-2 number, since 2×11282997053952² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11282997053952.

It is not an unprimeable number, because it can be changed into a prime (11282997053953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57949788 + ... + 58144164.

It is an arithmetic number, because the mean of its divisors is an integer number (62637338610).

Almost surely, 2^{11282997053952} is an apocalyptic number.

11282997053952 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 11282997053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20043948355200).

11282997053952 is an abundant number, since it is smaller than the sum of its proper divisors (28804899656448).

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

11282997053952 is a wasteful number, since it uses less digits than its factorization.

11282997053952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194453 (or 194431 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 11282997053952 in words is "eleven trillion, two hundred eighty-two billion, nine hundred ninety-seven million, fifty-three thousand, nine hundred fifty-two".