1355520000 has 240 divisors, whose sum is σ = 4528644120. Its totient is φ = 360448000.

The previous prime is 1355519993. The next prime is 1355520013. The reversal of 1355520000 is 255531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839824 + ... + 3840176.

Almost surely, 2^1355520000 is an apocalyptic number.

1355520000 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 1355520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264322060).

1355520000 is an abundant number, since it is smaller than the sum of its proper divisors (3173124120).

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

1355520000 is an frugal number, since it uses more digits than its factorization.

1355520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 1355520000 is about 36817.3871968123. The cubic root of 1355520000 is about 1106.7137606771.

Adding to 1355520000 its reverse (255531), we get a palindrome (1355775531).

The spelling of 1355520000 in words is "one billion, three hundred fifty-five million, five hundred twenty thousand".