1253340000000 has 1152 divisors, whose sum is σ = 5078049500160. Its totient is φ = 302400000000.

The previous prime is 1253339999963. The next prime is 1253340000019. The reversal of 1253340000000 is 433521.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1253340000000² (a number of 25 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5939999895 + ... + 5940000105.

It is an arithmetic number, because the mean of its divisors is an integer number (4408029080).

Almost surely, 2^{1253340000000} is an apocalyptic number.

1253340000000 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 1253340000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539024750080).

1253340000000 is an abundant number, since it is smaller than the sum of its proper divisors (3824709500160).

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

1253340000000 is an frugal number, since it uses more digits than its factorization.

1253340000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 232 counting only the distinct ones).

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

Adding to 1253340000000 its reverse (433521), we get a palindrome (1253340433521).

The spelling of 1253340000000 in words is "one trillion, two hundred fifty-three billion, three hundred forty million", and thus it is an aban number.