10920134199744 has 336 divisors, whose sum is σ = 39029344563456. Its totient is φ = 2836018483200.

The previous prime is 10920134199727. The next prime is 10920134199757. The reversal of 10920134199744 is 44799143102901.

It is a happy number.

10920134199744 is a `hidden beast` number, since 1 + 0 + 9 + 201 + 341 + 9 + 97 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506089884 + ... + 506111460.

Almost surely, 2^{10920134199744} is an apocalyptic number.

10920134199744 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 10920134199744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514672281728).

10920134199744 is an abundant number, since it is smaller than the sum of its proper divisors (28109210363712).

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

10920134199744 is a wasteful number, since it uses less digits than its factorization.

10920134199744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33024 (or 33011 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10920134199744 in words is "ten trillion, nine hundred twenty billion, one hundred thirty-four million, one hundred ninety-nine thousand, seven hundred forty-four".