5648154864000 has 1024 divisors, whose sum is σ = 21189468119040. Its totient is φ = 1318502400000.

The previous prime is 5648154863999. The next prime is 5648154864017. The reversal of 5648154864000 is 4684518465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3813743260 + ... + 3813744740.

It is an arithmetic number, because the mean of its divisors is an integer number (20692839960).

Almost surely, 2^{5648154864000} is an apocalyptic number.

5648154864000 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 5648154864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10594734059520).

5648154864000 is an abundant number, since it is smaller than the sum of its proper divisors (15541313255040).

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

5648154864000 is a wasteful number, since it uses less digits than its factorization.

5648154864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 5648154864000 in words is "five trillion, six hundred forty-eight billion, one hundred fifty-four million, eight hundred sixty-four thousand".