1304888272560 has 800 divisors, whose sum is σ = 5030430210432. Its totient is φ = 311816355840.

The previous prime is 1304888272481. The next prime is 1304888272561. The reversal of 1304888272560 is 652728884031.

1304888272560 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 8 + 8 + 8 + 2 + 72 + 560 = 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 = 1304888272497 and 1304888272506.

It is not an unprimeable number, because it can be changed into a prime (1304888272561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 610615812 + ... + 610617948.

Almost surely, 2^{1304888272560} is an apocalyptic number.

1304888272560 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 1304888272560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515215105216).

1304888272560 is an abundant number, since it is smaller than the sum of its proper divisors (3725541937872).

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

1304888272560 is a wasteful number, since it uses less digits than its factorization.

1304888272560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

It can be divided in two parts, 130488 and 8272560, that added together give a palindrome (8403048).

The spelling of 1304888272560 in words is "one trillion, three hundred four billion, eight hundred eighty-eight million, two hundred seventy-two thousand, five hundred sixty".