1353024000000 has 1274 divisors, whose sum is σ = 5245692424590. Its totient is φ = 348364800000.

The previous prime is 1353023999963. The next prime is 1353024000019. The reversal of 1353024000000 is 4203531.

It can be written as a sum of positive squares in 7 ways, for example, as 1352438747136 + 585252864 = 1162944^2 + 24192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 97 ways as a sum of consecutive naturals, for example, 46655999986 + ... + 46656000014.

Almost surely, 2^{1353024000000} is an apocalyptic number.

1353024000000 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 1353024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622846212295).

1353024000000 is an abundant number, since it is smaller than the sum of its proper divisors (3892668424590).

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

1353024000000 is an frugal number, since it uses more digits than its factorization.

1353024000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 1353024000000 its reverse (4203531), we get a palindrome (1353028203531).

The spelling of 1353024000000 in words is "one trillion, three hundred fifty-three billion, twenty-four million", and thus it is an aban number.