126530449920 has 960 divisors, whose sum is σ = 530853523200. Its totient is φ = 28872474624.

The previous prime is 126530449909. The next prime is 126530449943. The reversal of 126530449920 is 29944035621.

126530449920 is a `hidden beast` number, since 1 + 2 + 6 + 530 + 4 + 4 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213373144 + ... + 213373736.

It is an arithmetic number, because the mean of its divisors is an integer number (552972420).

Almost surely, 2^126530449920 is an apocalyptic number.

126530449920 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 126530449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265426761600).

126530449920 is an abundant number, since it is smaller than the sum of its proper divisors (404323073280).

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

126530449920 is an frugal number, since it uses more digits than its factorization.

126530449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 126530449920 in words is "one hundred twenty-six billion, five hundred thirty million, four hundred forty-nine thousand, nine hundred twenty".