15648225977280 has 672 divisors, whose sum is σ = 55030523212800. Its totient is φ = 3763951386624.

The previous prime is 15648225977243. The next prime is 15648225977291. The reversal of 15648225977280 is 8277952284651.

It is a super-2 number, since 2×15648225977280² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 6550114326 + ... + 6550116714.

Almost surely, 2^{15648225977280} is an apocalyptic number.

15648225977280 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 15648225977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27515261606400).

15648225977280 is an abundant number, since it is smaller than the sum of its proper divisors (39382297235520).

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

15648225977280 is a wasteful number, since it uses less digits than its factorization.

15648225977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 66.

The spelling of 15648225977280 in words is "fifteen trillion, six hundred forty-eight billion, two hundred twenty-five million, nine hundred seventy-seven thousand, two hundred eighty".