15297313320000 has 2100 divisors, whose sum is σ = 62209953489420. Its totient is φ = 3715476480000.

The previous prime is 15297313319999. The next prime is 15297313320043. The reversal of 15297313320000 is 2331379251.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

15297313320000 is a `hidden beast` number, since 1 + 5 + 297 + 31 + 332 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 11089859060736 + 4207454259264 = 3330144^2 + 2051208^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 493461719985 + ... + 493461720015.

Almost surely, 2^{15297313320000} is an apocalyptic number.

15297313320000 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 15297313320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104976744710).

15297313320000 is an abundant number, since it is smaller than the sum of its proper divisors (46912640169420).

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

15297313320000 is an frugal number, since it uses more digits than its factorization.

15297313320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

Adding to 15297313320000 its reverse (2331379251), we get a palindrome (15299644699251).

The spelling of 15297313320000 in words is "fifteen trillion, two hundred ninety-seven billion, three hundred thirteen million, three hundred twenty thousand".