1321658002560 has 256 divisors, whose sum is σ = 4816466242560. Its totient is φ = 301976875008.

The previous prime is 1321658002559. The next prime is 1321658002649. The reversal of 1321658002560 is 652008561231.

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 31 ways as a sum of consecutive naturals, for example, 37654779 + ... + 37689861.

It is an arithmetic number, because the mean of its divisors is an integer number (18814321260).

Almost surely, 2^{1321658002560} is an apocalyptic number.

1321658002560 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 1321658002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408233121280).

1321658002560 is an abundant number, since it is smaller than the sum of its proper divisors (3494808240000).

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

1321658002560 is a wasteful number, since it uses less digits than its factorization.

1321658002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37915 (or 37903 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 1321658002560 in words is "one trillion, three hundred twenty-one billion, six hundred fifty-eight million, two thousand, five hundred sixty".