126161724113280 has 256 divisors, whose sum is σ = 448040296166400. Its totient is φ = 33551454099456.

The previous prime is 126161724113279. The next prime is 126161724113291. The reversal of 126161724113280 is 82311427161621.

126161724113280 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 61 + 72 + 411 + 32 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3605142 + ... + 16288661.

It is an arithmetic number, because the mean of its divisors is an integer number (1750157406900).

Almost surely, 2^{126161724113280} is an apocalyptic number.

126161724113280 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 126161724113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224020148083200).

126161724113280 is an abundant number, since it is smaller than the sum of its proper divisors (321878572053120).

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

126161724113280 is a wasteful number, since it uses less digits than its factorization.

126161724113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19894198 (or 19894180 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 126161724113280 in words is "one hundred twenty-six trillion, one hundred sixty-one billion, seven hundred twenty-four million, one hundred thirteen thousand, two hundred eighty".