1353529488220 has 576 divisors, whose sum is σ = 3931536196224. Its totient is φ = 386266890240.

The previous prime is 1353529488149. The next prime is 1353529488221. The reversal of 1353529488220 is 228849253531.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353529488221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 536900560 + ... + 536903080.

It is an arithmetic number, because the mean of its divisors is an integer number (6825583674).

Almost surely, 2^{1353529488220} is an apocalyptic number.

1353529488220 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 1353529488220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965768098112).

1353529488220 is an abundant number, since it is smaller than the sum of its proper divisors (2578006708004).

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

1353529488220 is a wasteful number, since it uses less digits than its factorization.

1353529488220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 1353529488220 in words is "one trillion, three hundred fifty-three billion, five hundred twenty-nine million, four hundred eighty-eight thousand, two hundred twenty".