1350568800 has 432 divisors, whose sum is σ = 5511647232. Its totient is φ = 304819200.

The previous prime is 1350568799. The next prime is 1350568801. The reversal of 1350568800 is 88650531.

1350568800 is a `hidden beast` number, since 13 + 5 + 0 + 568 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1350568799) and next prime (1350568801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350568801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6400695 + ... + 6400905.

Almost surely, 2^1350568800 is an apocalyptic number.

1350568800 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 1350568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755823616).

1350568800 is an abundant number, since it is smaller than the sum of its proper divisors (4161078432).

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

1350568800 is a wasteful number, since it uses less digits than its factorization.

1350568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1350568800 is about 36750.0857141858. The cubic root of 1350568800 is about 1105.3646483245.

The spelling of 1350568800 in words is "one billion, three hundred fifty million, five hundred sixty-eight thousand, eight hundred".