1356600000 has 672 divisors, whose sum is σ = 5714634240. Its totient is φ = 276480000.

The previous prime is 1356599971. The next prime is 1356600013. The reversal of 1356600000 is 66531.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1356600000.

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 95 ways as a sum of consecutive naturals, for example, 71399991 + ... + 71400009.

It is an arithmetic number, because the mean of its divisors is an integer number (8503920).

Almost surely, 2^1356600000 is an apocalyptic number.

1356600000 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 1356600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857317120).

1356600000 is an abundant number, since it is smaller than the sum of its proper divisors (4358034240).

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

1356600000 is an equidigital number, since it uses as much as digits as its factorization.

1356600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1356600000 is about 36832.0512597384. The cubic root of 1356600000 is about 1107.0076045074.

Adding to 1356600000 its reverse (66531), we get a palindrome (1356666531).

The spelling of 1356600000 in words is "one billion, three hundred fifty-six million, six hundred thousand".