126071314160610 has 256 divisors, whose sum is σ = 378080414982144. Its totient is φ = 26194707044352.

The previous prime is 126071314160593. The next prime is 126071314160723. The reversal of 126071314160610 is 16061413170621.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128451757 + ... + 129429503.

It is an arithmetic number, because the mean of its divisors is an integer number (1476876621024).

Almost surely, 2^{126071314160610} is an apocalyptic number.

126071314160610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126071314160610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189040207491072).

126071314160610 is an abundant number, since it is smaller than the sum of its proper divisors (252009100821534).

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

126071314160610 is a wasteful number, since it uses less digits than its factorization.

126071314160610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978497.

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 126071314160610 in words is "one hundred twenty-six trillion, seventy-one billion, three hundred fourteen million, one hundred sixty thousand, six hundred ten".