1648552642560 has 240 divisors, whose sum is σ = 5908926523500. Its totient is φ = 439613816832.

The previous prime is 1648552642549. The next prime is 1648552642579. The reversal of 1648552642560 is 652462558461.

1648552642560 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 55 + 26 + 4 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1486214562816 + 162338079744 = 1219104^2 + 402912^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1648552642497 and 1648552642506.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 164335 + ... + 1823214.

Almost surely, 2^{1648552642560} is an apocalyptic number.

1648552642560 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 1648552642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954463261750).

1648552642560 is an abundant number, since it is smaller than the sum of its proper divisors (4260373880940).

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

1648552642560 is an equidigital number, since it uses as much as digits as its factorization.

1648552642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987588 (or 1987559 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 1648552642560 in words is "one trillion, six hundred forty-eight billion, five hundred fifty-two million, six hundred forty-two thousand, five hundred sixty".