11290284667200 has 3024 divisors, whose sum is σ = 51341906764800. Its totient is φ = 2141862912000.

The previous prime is 11290284667199. The next prime is 11290284667223. The reversal of 11290284667200 is 276648209211.

It is a super-2 number, since 2×11290284667200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11290284667200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 47239684681 + ... + 47239684919.

Almost surely, 2^{11290284667200} is an apocalyptic number.

11290284667200 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 11290284667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25670953382400).

11290284667200 is an abundant number, since it is smaller than the sum of its proper divisors (40051622097600).

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

11290284667200 is a wasteful number, since it uses less digits than its factorization.

11290284667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 11290284667200 in words is "eleven trillion, two hundred ninety billion, two hundred eighty-four million, six hundred sixty-seven thousand, two hundred".