1353260211620 has 96 divisors (see below), whose sum is σ = 3131019214848. Its totient is φ = 489214748672.

The previous prime is 1353260211607. The next prime is 1353260211623. The reversal of 1353260211620 is 261120623531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1353260211623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48029 + ... + 1645851.

It is an arithmetic number, because the mean of its divisors is an integer number (32614783488).

Almost surely, 2^{1353260211620} is an apocalyptic number.

1353260211620 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 1353260211620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565509607424).

1353260211620 is an abundant number, since it is smaller than the sum of its proper divisors (1777759003228).

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

1353260211620 is a wasteful number, since it uses less digits than its factorization.

1353260211620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597949 (or 1597947 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 1353260211620 in words is "one trillion, three hundred fifty-three billion, two hundred sixty million, two hundred eleven thousand, six hundred twenty".