12778632585600 has 384 divisors, whose sum is σ = 49010030657280. Its totient is φ = 2865719500800.

The previous prime is 12778632585577. The next prime is 12778632585617. The reversal of 12778632585600 is 658523687721.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1767655 + ... + 5355545.

It is an arithmetic number, because the mean of its divisors is an integer number (127630288170).

Almost surely, 2^{12778632585600} is an apocalyptic number.

12778632585600 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 12778632585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24505015328640).

12778632585600 is an abundant number, since it is smaller than the sum of its proper divisors (36231398071680).

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

12778632585600 is a wasteful number, since it uses less digits than its factorization.

12778632585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587978 (or 3587961 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 12778632585600 in words is "twelve trillion, seven hundred seventy-eight billion, six hundred thirty-two million, five hundred eighty-five thousand, six hundred".