5444948146560 has 1024 divisors, whose sum is σ = 20418846336000. Its totient is φ = 1222007980032.

The previous prime is 5444948146537. The next prime is 5444948146577. The reversal of 5444948146560 is 656418494445.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5444948146494 and 5444948146503.

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, 7192797702 + ... + 7192798458.

It is an arithmetic number, because the mean of its divisors is an integer number (19940279625).

Almost surely, 2^{5444948146560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5444948146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10209423168000).

5444948146560 is an abundant number, since it is smaller than the sum of its proper divisors (14973898189440).

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

5444948146560 is a wasteful number, since it uses less digits than its factorization.

5444948146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 5444948146560 in words is "five trillion, four hundred forty-four billion, nine hundred forty-eight million, one hundred forty-six thousand, five hundred sixty".