12618950400 has 972 divisors, whose sum is σ = 55779836112. Its totient is φ = 2704343040.

The previous prime is 12618950353. The next prime is 12618950441. The reversal of 12618950400 is 405981621.

12618950400 is a `hidden beast` number, since 1 + 26 + 189 + 50 + 400 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47980669 + ... + 47980931.

Almost surely, 2^12618950400 is an apocalyptic number.

12618950400 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 12618950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27889918056).

12618950400 is an abundant number, since it is smaller than the sum of its proper divisors (43160885712).

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

12618950400 is a wasteful number, since it uses less digits than its factorization.

12618950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12618950400 in words is "twelve billion, six hundred eighteen million, nine hundred fifty thousand, four hundred".