63126010036026 has 192 divisors, whose sum is σ = 157383755882496. Its totient is φ = 17912852697600.

The previous prime is 63126010036021. The next prime is 63126010036031. The reversal of 63126010036026 is 62063001062136.

63126010036026 is a `hidden beast` number, since 6 + 3 + 1 + 260 + 10 + 0 + 360 + 26 = 666.

It is an interprime number because it is at equal distance from previous prime (63126010036021) and next prime (63126010036031).

It is not an unprimeable number, because it can be changed into a prime (63126010036021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21745093291 + ... + 21745096193.

It is an arithmetic number, because the mean of its divisors is an integer number (819707061888).

Almost surely, 2^{63126010036026} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63126010036026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78691877941248).

63126010036026 is an abundant number, since it is smaller than the sum of its proper divisors (94257745846470).

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

63126010036026 is a wasteful number, since it uses less digits than its factorization.

63126010036026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 63126010036026 in words is "sixty-three trillion, one hundred twenty-six billion, ten million, thirty-six thousand, twenty-six".