126823488480 has 336 divisors, whose sum is σ = 483786807840. Its totient is φ = 31217716224.

The previous prime is 126823488443. The next prime is 126823488481. The reversal of 126823488480 is 84884328621.

126823488480 is a `hidden beast` number, since 1 + 2 + 6 + 82 + 3 + 4 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126823488481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1474501 + ... + 1558139.

It is an arithmetic number, because the mean of its divisors is an integer number (1439841690).

Almost surely, 2^126823488480 is an apocalyptic number.

126823488480 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 126823488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241893403920).

126823488480 is an abundant number, since it is smaller than the sum of its proper divisors (356963319360).

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

126823488480 is an equidigital number, since it uses as much as digits as its factorization.

126823488480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83685 (or 83662 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 126823488480 in words is "one hundred twenty-six billion, eight hundred twenty-three million, four hundred eighty-eight thousand, four hundred eighty".