2805648723360 has 1152 divisors, whose sum is σ = 11581398226944. Its totient is φ = 628176384000.

The previous prime is 2805648723313. The next prime is 2805648723373. The reversal of 2805648723360 is 633278465082.

2805648723360 is a `hidden beast` number, since 2 + 8 + 0 + 564 + 8 + 72 + 3 + 3 + 6 + 0 = 666.

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 = 2805648723297 and 2805648723306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4576914414 + ... + 4576915026.

It is an arithmetic number, because the mean of its divisors is an integer number (10053297072).

Almost surely, 2^{2805648723360} is an apocalyptic number.

2805648723360 is a gapful number since it is divisible by the number (20) 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 2805648723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790699113472).

2805648723360 is an abundant number, since it is smaller than the sum of its proper divisors (8775749503584).

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

2805648723360 is a wasteful number, since it uses less digits than its factorization.

2805648723360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2805648723360 in words is "two trillion, eight hundred five billion, six hundred forty-eight million, seven hundred twenty-three thousand, three hundred sixty".