1353242566560 has 192 divisors, whose sum is σ = 4299484299264. Its totient is φ = 357756134400.

The previous prime is 1353242566547. The next prime is 1353242566693. The reversal of 1353242566560 is 656652423531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89664615 + ... + 89679705.

It is an arithmetic number, because the mean of its divisors is an integer number (22393147392).

Almost surely, 2^{1353242566560} is an apocalyptic number.

1353242566560 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 1353242566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149742149632).

1353242566560 is an abundant number, since it is smaller than the sum of its proper divisors (2946241732704).

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

1353242566560 is a wasteful number, since it uses less digits than its factorization.

1353242566560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16707 (or 16699 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 1353242566560 in words is "one trillion, three hundred fifty-three billion, two hundred forty-two million, five hundred sixty-six thousand, five hundred sixty".