126404908560 has 320 divisors, whose sum is σ = 511044672000. Its totient is φ = 28111546368.

The previous prime is 126404908541. The next prime is 126404908561. The reversal of 126404908560 is 65809404621.

126404908560 is a `hidden beast` number, since 1 + 2 + 6 + 40 + 49 + 0 + 8 + 560 = 666.

It is a super-2 number, since 2×126404908560² (a number of 23 digits) contains 22 as substring.

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 (126404908561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446466 + ... + 672414.

It is an arithmetic number, because the mean of its divisors is an integer number (1597014600).

Almost surely, 2^126404908560 is an apocalyptic number.

126404908560 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 126404908560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255522336000).

126404908560 is an abundant number, since it is smaller than the sum of its proper divisors (384639763440).

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

126404908560 is a wasteful number, since it uses less digits than its factorization.

126404908560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226015 (or 226003 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 126404908560 in words is "one hundred twenty-six billion, four hundred four million, nine hundred eight thousand, five hundred sixty".