126427534560 has 288 divisors, whose sum is σ = 448750253952. Its totient is φ = 33613263360.

The previous prime is 126427534547. The next prime is 126427534561. The reversal of 126427534560 is 65435724621.

126427534560 is a `hidden beast` number, since 1 + 2 + 64 + 2 + 7 + 534 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126427534561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13486675 + ... + 13496045.

It is an arithmetic number, because the mean of its divisors is an integer number (1558160604).

Almost surely, 2^126427534560 is an apocalyptic number.

126427534560 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 126427534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224375126976).

126427534560 is an abundant number, since it is smaller than the sum of its proper divisors (322322719392).

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

126427534560 is an equidigital number, since it uses as much as digits as its factorization.

126427534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9748 (or 9728 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 126427534560 in words is "one hundred twenty-six billion, four hundred twenty-seven million, five hundred thirty-four thousand, five hundred sixty".