12550977600 has 1008 divisors, whose sum is σ = 52608650688. Its totient is φ = 2601123840.

The previous prime is 12550977581. The next prime is 12550977613. The reversal of 12550977600 is 677905521.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171931164 + ... + 171931236.

Almost surely, 2^12550977600 is an apocalyptic number.

12550977600 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 12550977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26304325344).

12550977600 is an abundant number, since it is smaller than the sum of its proper divisors (40057673088).

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

12550977600 is a wasteful number, since it uses less digits than its factorization.

12550977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 12550977600 in words is "twelve billion, five hundred fifty million, nine hundred seventy-seven thousand, six hundred".