12496550400 has 600 divisors, whose sum is σ = 49040348940. Its totient is φ = 3131965440.

The previous prime is 12496550377. The next prime is 12496550411. The reversal of 12496550400 is 405569421.

12496550400 is a `hidden beast` number, since 1 + 249 + 6 + 5 + 5 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3816274176 + 8680276224 = 61776^2 + 93168^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17625246 + ... + 17625954.

Almost surely, 2^12496550400 is an apocalyptic number.

12496550400 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 12496550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24520174470).

12496550400 is an abundant number, since it is smaller than the sum of its proper divisors (36543798540).

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

12496550400 is an equidigital number, since it uses as much as digits as its factorization.

12496550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12496550400 in words is "twelve billion, four hundred ninety-six million, five hundred fifty thousand, four hundred".