12655958400 has 480 divisors, whose sum is σ = 47151870480. Its totient is φ = 3342643200.

The previous prime is 12655958369. The next prime is 12655958407. The reversal of 12655958400 is 485955621.

12655958400 is a `hidden beast` number, since 1 + 2 + 6 + 559 + 58 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12655958407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40694245 + ... + 40694555.

Almost surely, 2^12655958400 is an apocalyptic number.

12655958400 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 12655958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23575935240).

12655958400 is an abundant number, since it is smaller than the sum of its proper divisors (34495912080).

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

12655958400 is a wasteful number, since it uses less digits than its factorization.

12655958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 12655958400 in words is "twelve billion, six hundred fifty-five million, nine hundred fifty-eight thousand, four hundred".