1353057105400 has 768 divisors, whose sum is σ = 4550108774400. Its totient is φ = 360315648000.

The previous prime is 1353057105371. The next prime is 1353057105437. The reversal of 1353057105400 is 45017503531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142737861 + ... + 142747339.

It is an arithmetic number, because the mean of its divisors is an integer number (5924620800).

Almost surely, 2^{1353057105400} is an apocalyptic number.

1353057105400 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 1353057105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275054387200).

1353057105400 is an abundant number, since it is smaller than the sum of its proper divisors (3197051669000).

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

1353057105400 is a wasteful number, since it uses less digits than its factorization.

1353057105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580 (or 9571 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The spelling of 1353057105400 in words is "one trillion, three hundred fifty-three billion, fifty-seven million, one hundred five thousand, four hundred".