1353375380160 has 448 divisors, whose sum is σ = 5077650032640. Its totient is φ = 338166005760.

The previous prime is 1353375380099. The next prime is 1353375380213. The reversal of 1353375380160 is 610835733531.

1353375380160 is a `hidden beast` number, since 1 + 3 + 53 + 3 + 7 + 538 + 0 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33321465 + ... + 33362055.

Almost surely, 2^{1353375380160} is an apocalyptic number.

1353375380160 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 1353375380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538825016320).

1353375380160 is an abundant number, since it is smaller than the sum of its proper divisors (3724274652480).

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

1353375380160 is a wasteful number, since it uses less digits than its factorization.

1353375380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40861 (or 40845 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 1353375380160 in words is "one trillion, three hundred fifty-three billion, three hundred seventy-five million, three hundred eighty thousand, one hundred sixty".