12780165198528 has 168 divisors, whose sum is σ = 45085582968608. Its totient is φ = 3370593005568.

The previous prime is 12780165198523. The next prime is 12780165198583. The reversal of 12780165198528 is 82589156108721.

12780165198528 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 0 + 16 + 5 + 1 + 98 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12780165198523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121858501 + ... + 121963332.

Almost surely, 2^{12780165198528} is an apocalyptic number.

12780165198528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12780165198528 is an abundant number, since it is smaller than the sum of its proper divisors (32305417770080).

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

12780165198528 is a wasteful number, since it uses less digits than its factorization.

12780165198528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243821871 (or 243821858 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 63.

The spelling of 12780165198528 in words is "twelve trillion, seven hundred eighty billion, one hundred sixty-five million, one hundred ninety-eight thousand, five hundred twenty-eight".