5354854848000 has 2880 divisors, whose sum is σ = 23942321200512. Its totient is φ = 1144494489600.

The previous prime is 5354854847987. The next prime is 5354854848043. The reversal of 5354854848000 is 8484584535.

5354854848000 is a `hidden beast` number, since 5 + 3 + 5 + 4 + 85 + 484 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47388095944 + ... + 47388096056.

Almost surely, 2^{5354854848000} is an apocalyptic number.

5354854848000 is a gapful number since it is divisible by the number (50) 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 5354854848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11971160600256).

5354854848000 is an abundant number, since it is smaller than the sum of its proper divisors (18587466352512).

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

5354854848000 is a wasteful number, since it uses less digits than its factorization.

5354854848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 5354854848000 in words is "five trillion, three hundred fifty-four billion, eight hundred fifty-four million, eight hundred forty-eight thousand".