126824312160 has 576 divisors, whose sum is σ = 539448698880. Its totient is φ = 26417664000.

The previous prime is 126824312149. The next prime is 126824312161. The reversal of 126824312160 is 61213428621.

It is a happy number.

126824312160 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 2 + 431 + 216 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126824312161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10346035 + ... + 10358285.

It is an arithmetic number, because the mean of its divisors is an integer number (936542880).

Almost surely, 2^126824312160 is an apocalyptic number.

126824312160 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 126824312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269724349440).

126824312160 is an abundant number, since it is smaller than the sum of its proper divisors (412624386720).

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

126824312160 is a wasteful number, since it uses less digits than its factorization.

126824312160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12371 (or 12360 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 126824312160 in words is "one hundred twenty-six billion, eight hundred twenty-four million, three hundred twelve thousand, one hundred sixty".