10996548433920 has 576 divisors, whose sum is σ = 43712367491520. Its totient is φ = 2504510668800.

The previous prime is 10996548433907. The next prime is 10996548433939. The reversal of 10996548433920 is 2933484569901.

10996548433920 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 65 + 484 + 3 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 181248390 + ... + 181309050.

It is an arithmetic number, because the mean of its divisors is an integer number (75889526895).

Almost surely, 2^{10996548433920} is an apocalyptic number.

10996548433920 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 10996548433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21856183745760).

10996548433920 is an abundant number, since it is smaller than the sum of its proper divisors (32715819057600).

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

10996548433920 is a wasteful number, since it uses less digits than its factorization.

10996548433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60982 (or 60959 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 10996548433920 in words is "ten trillion, nine hundred ninety-six billion, five hundred forty-eight million, four hundred thirty-three thousand, nine hundred twenty".