1353015200000 has 108 divisors (see below), whose sum is σ = 3375717416820. Its totient is φ = 541205760000.

The previous prime is 1353015199997. The next prime is 1353015200027. The reversal of 1353015200000 is 25103531.

It can be written as a sum of positive squares in 6 ways, for example, as 943353757696 + 409661442304 = 971264^2 + 640048^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45635 + ... + 1645634.

Almost surely, 2^{1353015200000} is an apocalyptic number.

1353015200000 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 1353015200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687858708410).

1353015200000 is an abundant number, since it is smaller than the sum of its proper divisors (2022702216820).

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

1353015200000 is an frugal number, since it uses more digits than its factorization.

1353015200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691310 (or 1691276 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The spelling of 1353015200000 in words is "one trillion, three hundred fifty-three billion, fifteen million, two hundred thousand".