1353421135872 has 756 divisors, whose sum is σ = 4425629077350. Its totient is φ = 413642391552.

The previous prime is 1353421135867. The next prime is 1353421135961. The reversal of 1353421135872 is 2785311243531.

1353421135872 is a `hidden beast` number, since 1 + 3 + 5 + 34 + 21 + 13 + 587 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 393460125696 + 959961010176 = 627264^2 + 979776^2 .

Its product of digits (604800) is a multiple of the sum of its prime factors (225).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9083363254 + ... + 9083363402.

Almost surely, 2^{1353421135872} is an apocalyptic number.

1353421135872 is a gapful number since it is divisible by the number (12) 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 1353421135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212814538675).

1353421135872 is an abundant number, since it is smaller than the sum of its proper divisors (3072207941478).

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

1353421135872 is an frugal number, since it uses more digits than its factorization.

1353421135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 167 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 1353421135872 in words is "one trillion, three hundred fifty-three billion, four hundred twenty-one million, one hundred thirty-five thousand, eight hundred seventy-two".