126069855962688 has 1008 divisors, whose sum is σ = 421467659016768. Its totient is φ = 37048297881600.

The previous prime is 126069855962681. The next prime is 126069855962707. The reversal of 126069855962688 is 886269558960621.

126069855962688 is a `hidden beast` number, since 1 + 260 + 6 + 9 + 8 + 5 + 5 + 96 + 268 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (126069855962681) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 46468799220 + ... + 46468801932.

It is an arithmetic number, because the mean of its divisors is an integer number (418122677596).

Almost surely, 2^{126069855962688} is an apocalyptic number.

126069855962688 is a gapful number since it is divisible by the number (18) 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 126069855962688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210733829508384).

126069855962688 is an abundant number, since it is smaller than the sum of its proper divisors (295397803054080).

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

126069855962688 is an equidigital number, since it uses as much as digits as its factorization.

126069855962688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 5374771200, while the sum is 81.

The spelling of 126069855962688 in words is "one hundred twenty-six trillion, sixty-nine billion, eight hundred fifty-five million, nine hundred sixty-two thousand, six hundred eighty-eight".