10754400000000 has 432 divisors, whose sum is σ = 35847227739960. Its totient is φ = 2867200000000.

The previous prime is 10754399999963. The next prime is 10754400000013. The reversal of 10754400000000 is 445701.

It is a super-3 number, since 3×10754400000000³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2399997760 + ... + 2400002240.

Almost surely, 2^{10754400000000} is an apocalyptic number.

10754400000000 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 10754400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17923613869980).

10754400000000 is an abundant number, since it is smaller than the sum of its proper divisors (25092827739960).

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

10754400000000 is an frugal number, since it uses more digits than its factorization.

10754400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

Adding to 10754400000000 its reverse (445701), we get a palindrome (10754400445701).

The spelling of 10754400000000 in words is "ten trillion, seven hundred fifty-four billion, four hundred million", and thus it is an aban number.