1048640716800 has 288 divisors, whose sum is σ = 3756433170360. Its totient is φ = 279635558400.

The previous prime is 1048640716769. The next prime is 1048640716801. The reversal of 1048640716800 is 86170468401.

1048640716800 is a `hidden beast` number, since 1 + 0 + 4 + 86 + 407 + 168 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048640716801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7301685 + ... + 7443915.

Almost surely, 2^{1048640716800} is an apocalyptic number.

1048640716800 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 1048640716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878216585180).

1048640716800 is an abundant number, since it is smaller than the sum of its proper divisors (2707792453560).

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

1048640716800 is an equidigital number, since it uses as much as digits as its factorization.

1048640716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142277 (or 142241 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1048640716800 in words is "one trillion, forty-eight billion, six hundred forty million, seven hundred sixteen thousand, eight hundred".