126420895964160 has 1408 divisors, whose sum is σ = 526179273523200. Its totient is φ = 28187927838720.

The previous prime is 126420895964137. The next prime is 126420895964161. The reversal of 126420895964160 is 61469598024621.

126420895964160 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 20 + 8 + 9 + 596 + 4 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126420895964161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7479190269 + ... + 7479207171.

It is an arithmetic number, because the mean of its divisors is an integer number (373706870400).

Almost surely, 2^{126420895964160} is an apocalyptic number.

126420895964160 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 126420895964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263089636761600).

126420895964160 is an abundant number, since it is smaller than the sum of its proper divisors (399758377559040).

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

126420895964160 is a wasteful number, since it uses less digits than its factorization.

126420895964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17134 (or 17110 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 126420895964160 in words is "one hundred twenty-six trillion, four hundred twenty billion, eight hundred ninety-five million, nine hundred sixty-four thousand, one hundred sixty".