13215801600 has 243 divisors, whose sum is σ = 47348321293. Its totient is φ = 3516856320.

The previous prime is 13215801593. The next prime is 13215801607. The reversal of 13215801600 is 610851231.

13215801600 = 1³ + 2³ + ... + 479³.

The square root of 13215801600 is 114960.

It is a perfect power (a square), and thus also a powerful number.

13215801600 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 58 + 0 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (13215801593) and next prime (13215801607).

It can be written as a sum of positive squares in only one way, i.e., 4757688576 + 8458113024 = 68976^2 + 91968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13215801607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27590161 + ... + 27590639.

Almost surely, 2^13215801600 is an apocalyptic number.

13215801600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13215801600 is the 114960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13215801600

13215801600 is an abundant number, since it is smaller than the sum of its proper divisors (34132519693).

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

13215801600 is an frugal number, since it uses more digits than its factorization.

13215801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 13215801600 in words is "thirteen billion, two hundred fifteen million, eight hundred one thousand, six hundred".