1199200028544 has 640 divisors, whose sum is σ = 4398214867200. Its totient is φ = 316663603200.

The previous prime is 1199200028527. The next prime is 1199200028557. The reversal of 1199200028544 is 4458200029911.

It is a happy number.

1199200028544 is a `hidden beast` number, since 1 + 19 + 92 + 0 + 0 + 0 + 2 + 8 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1199200028544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56526099 + ... + 56547309.

It is an arithmetic number, because the mean of its divisors is an integer number (6872210730).

Almost surely, 2^{1199200028544} is an apocalyptic number.

1199200028544 is a gapful number since it is divisible by the number (14) 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 1199200028544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199107433600).

1199200028544 is an abundant number, since it is smaller than the sum of its proper divisors (3199014838656).

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

1199200028544 is a wasteful number, since it uses less digits than its factorization.

1199200028544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21304 (or 21283 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1199200028544 in words is "one trillion, one hundred ninety-nine billion, two hundred million, twenty-eight thousand, five hundred forty-four".