1353606165400 has 96 divisors (see below), whose sum is σ = 3162140467200. Its totient is φ = 538866204800.

The previous prime is 1353606165367. The next prime is 1353606165419. The reversal of 1353606165400 is 45616063531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40973289 + ... + 41006311.

It is an arithmetic number, because the mean of its divisors is an integer number (32938963200).

Almost surely, 2^{1353606165400} is an apocalyptic number.

1353606165400 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 1353606165400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581070233600).

1353606165400 is an abundant number, since it is smaller than the sum of its proper divisors (1808534301800).

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

1353606165400 is a wasteful number, since it uses less digits than its factorization.

1353606165400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34009 (or 34000 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 1353606165400 in words is "one trillion, three hundred fifty-three billion, six hundred six million, one hundred sixty-five thousand, four hundred".