12508953600 has 1056 divisors, whose sum is σ = 52195159296. Its totient is φ = 2595225600.

The previous prime is 12508953511. The next prime is 12508953607. The reversal of 12508953600 is 635980521.

12508953600 = T₁₀₄₃₂ + T₁₀₄₃₃ + ... + T₁₀₆₅₆.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12508953607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186700767 + ... + 186700833.

Almost surely, 2^12508953600 is an apocalyptic number.

12508953600 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 12508953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26097579648).

12508953600 is an abundant number, since it is smaller than the sum of its proper divisors (39686205696).

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

12508953600 is a wasteful number, since it uses less digits than its factorization.

12508953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 12508953600 in words is "twelve billion, five hundred eight million, nine hundred fifty-three thousand, six hundred".