15648309352980 has 288 divisors, whose sum is σ = 48787740656928. Its totient is φ = 4057439846400.

The previous prime is 15648309352969. The next prime is 15648309352981. The reversal of 15648309352980 is 8925390384651.

15648309352980 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 8 + 309 + 35 + 298 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2637889208964 + 13010420144016 = 1624158^2 + 3606996^2 .

It is a super-2 number, since 2×15648309352980² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15648309352981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3578390074 + ... + 3578394446.

It is an arithmetic number, because the mean of its divisors is an integer number (169401877281).

Almost surely, 2^{15648309352980} is an apocalyptic number.

15648309352980 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 15648309352980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393870328464).

15648309352980 is an abundant number, since it is smaller than the sum of its proper divisors (33139431303948).

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

15648309352980 is a wasteful number, since it uses less digits than its factorization.

15648309352980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947 (or 5942 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 15648309352980 in words is "fifteen trillion, six hundred forty-eight billion, three hundred nine million, three hundred fifty-two thousand, nine hundred eighty".