12625529978880 has 3600 divisors, whose sum is σ = 59228507257920. Its totient is φ = 2547020464128.

The previous prime is 12625529978869. The next prime is 12625529978923. The reversal of 12625529978880 is 8887992552621.

12625529978880 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 5 + 529 + 97 + 8 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×12625529978880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12625529978799 and 12625529978808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 122577960909 + ... + 122577961011.

Almost surely, 2^{12625529978880} is an apocalyptic number.

12625529978880 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 12625529978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29614253628960).

12625529978880 is an abundant number, since it is smaller than the sum of its proper divisors (46602977279040).

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

12625529978880 is a wasteful number, since it uses less digits than its factorization.

12625529978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 12625529978880 in words is "twelve trillion, six hundred twenty-five billion, five hundred twenty-nine million, nine hundred seventy-eight thousand, eight hundred eighty".