12878515254528 has 1080 divisors, whose sum is σ = 48387472484736. Its totient is φ = 3334836510720.

The previous prime is 12878515254511. The next prime is 12878515254581. The reversal of 12878515254528 is 82545251587821.

12878515254528 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 8 + 5 + 1 + 52 + 54 + 528 = 666.

It is a super-2 number, since 2×12878515254528² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6972665701 + ... + 6972667547.

Almost surely, 2^{12878515254528} is an apocalyptic number.

12878515254528 is a gapful number since it is divisible by the number (18) 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 12878515254528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24193736242368).

12878515254528 is an abundant number, since it is smaller than the sum of its proper divisors (35508957230208).

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

12878515254528 is a wasteful number, since it uses less digits than its factorization.

12878515254528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2267 counting only the distinct ones).

The product of its digits is 71680000, while the sum is 63.

The spelling of 12878515254528 in words is "twelve trillion, eight hundred seventy-eight billion, five hundred fifteen million, two hundred fifty-four thousand, five hundred twenty-eight".