5648848934400 has 960 divisors, whose sum is σ = 24200682485760. Its totient is φ = 1263668428800.

The previous prime is 5648848934383. The next prime is 5648848934411. The reversal of 5648848934400 is 44398488465.

5648848934400 is a `hidden beast` number, since 5 + 6 + 4 + 88 + 489 + 34 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 113677560 + ... + 113727240.

It is an arithmetic number, because the mean of its divisors is an integer number (25209044256).

Almost surely, 2^{5648848934400} is an apocalyptic number.

5648848934400 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 5648848934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100341242880).

5648848934400 is an abundant number, since it is smaller than the sum of its proper divisors (18551833551360).

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

5648848934400 is a wasteful number, since it uses less digits than its factorization.

5648848934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49772 (or 49745 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 5648848934400 in words is "five trillion, six hundred forty-eight billion, eight hundred forty-eight million, nine hundred thirty-four thousand, four hundred".