10848854016000 has 4352 divisors, whose sum is σ = 54961740288000. Its totient is φ = 2080899072000.

The previous prime is 10848854015911. The next prime is 10848854016017. The reversal of 10848854016000 is 61045884801.

10848854016000 is a `hidden beast` number, since 1 + 0 + 8 + 48 + 8 + 540 + 1 + 60 + 0 + 0 = 666.

It is a super-3 number, since 3×10848854016000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 834527231994 + ... + 834527232006.

Almost surely, 2^{10848854016000} is an apocalyptic number.

10848854016000 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 10848854016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480870144000).

10848854016000 is an abundant number, since it is smaller than the sum of its proper divisors (44112886272000).

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

10848854016000 is an frugal number, since it uses more digits than its factorization.

10848854016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 10848854016000 in words is "ten trillion, eight hundred forty-eight billion, eight hundred fifty-four million, sixteen thousand".