1353355540000 has 60 divisors (see below), whose sum is σ = 3329457680934. Its totient is φ = 541342208000.

The previous prime is 1353355539971. The next prime is 1353355540027. The reversal of 1353355540000 is 455533531.

It can be written as a sum of positive squares in 5 ways, for example, as 111280953744 + 1242074586256 = 333588^2 + 1114484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33813889 + ... + 33853888.

Almost surely, 2^{1353355540000} is an apocalyptic number.

1353355540000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353355540000 is an abundant number, since it is smaller than the sum of its proper divisors (1976102140934).

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

1353355540000 is an frugal number, since it uses more digits than its factorization.

1353355540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67667807 (or 67667784 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 34.

The spelling of 1353355540000 in words is "one trillion, three hundred fifty-three billion, three hundred fifty-five million, five hundred forty thousand".