1353127680 has 360 divisors, whose sum is σ = 5009794944. Its totient is φ = 348364800.

The previous prime is 1353127679. The next prime is 1353127691. The reversal of 1353127680 is 867213531.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3213870 + ... + 3214290.

Almost surely, 2^1353127680 is an apocalyptic number.

1353127680 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 1353127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504897472).

1353127680 is an abundant number, since it is smaller than the sum of its proper divisors (3656667264).

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

1353127680 is an equidigital number, since it uses as much as digits as its factorization.

1353127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1353127680 is about 36784.8838519303. The cubic root of 1353127680 is about 1106.0623077145.

The spelling of 1353127680 in words is "one billion, three hundred fifty-three million, one hundred twenty-seven thousand, six hundred eighty".