126567204480 has 320 divisors, whose sum is σ = 462513981600. Its totient is φ = 32965761024.

The previous prime is 126567204473. The next prime is 126567204487. The reversal of 126567204480 is 84402765621.

126567204480 is a `hidden beast` number, since 1 + 2 + 6 + 567 + 2 + 0 + 4 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (126567204473) and next prime (126567204487).

It is a tau number, because it is divible by the number of its divisors (320).

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 (126567204487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2200731 + ... + 2257509.

Almost surely, 2^126567204480 is an apocalyptic number.

126567204480 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 126567204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231256990800).

126567204480 is an abundant number, since it is smaller than the sum of its proper divisors (335946777120).

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

126567204480 is an equidigital number, since it uses as much as digits as its factorization.

126567204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56853 (or 56832 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 126567204480 in words is "one hundred twenty-six billion, five hundred sixty-seven million, two hundred four thousand, four hundred eighty".