12495448800 has 864 divisors, whose sum is σ = 51184224000. Its totient is φ = 2956124160.

The previous prime is 12495448787. The next prime is 12495448807. The reversal of 12495448800 is 884459421.

12495448800 is a `hidden beast` number, since 1 + 24 + 9 + 544 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×12495448800² (a number of 21 digits) contains 22 as substring.

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 (12495448807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62791101 + ... + 62791299.

It is an arithmetic number, because the mean of its divisors is an integer number (59241000).

Almost surely, 2^12495448800 is an apocalyptic number.

12495448800 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 12495448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112000).

12495448800 is an abundant number, since it is smaller than the sum of its proper divisors (38688775200).

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

12495448800 is a wasteful number, since it uses less digits than its factorization.

12495448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12495448800 in words is "twelve billion, four hundred ninety-five million, four hundred forty-eight thousand, eight hundred".