126328960800 has 360 divisors, whose sum is σ = 526512926016. Its totient is φ = 28875087360.

The previous prime is 126328960783. The next prime is 126328960801. The reversal of 126328960800 is 8069823621.

126328960800 is a `hidden beast` number, since 1 + 2 + 6 + 32 + 8 + 9 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (126328960801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 314349 + ... + 592851.

Almost surely, 2^126328960800 is an apocalyptic number.

126328960800 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 126328960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263256463008).

126328960800 is an abundant number, since it is smaller than the sum of its proper divisors (400183965216).

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

126328960800 is a wasteful number, since it uses less digits than its factorization.

126328960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278542 (or 278520 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 126328960800 in words is "one hundred twenty-six billion, three hundred twenty-eight million, nine hundred sixty thousand, eight hundred".