126026142105600 has 5040 divisors, whose sum is σ = 564998863445856. Its totient is φ = 27518828544000.

The previous prime is 126026142105593. The next prime is 126026142105613. The reversal of 126026142105600 is 6501241620621.

126026142105600 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 2 + 6 + 1 + 42 + 1 + 0 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2066002329570 + ... + 2066002329630.

Almost surely, 2^{126026142105600} is an apocalyptic number.

126026142105600 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 126026142105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282499431722928).

126026142105600 is an abundant number, since it is smaller than the sum of its proper divisors (438972721340256).

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

126026142105600 is an equidigital number, since it uses as much as digits as its factorization.

126026142105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 126026142105600 in words is "one hundred twenty-six trillion, twenty-six billion, one hundred forty-two million, one hundred five thousand, six hundred".