126308458464760 has 192 divisors, whose sum is σ = 338150761381440. Its totient is φ = 42177565900800.

The previous prime is 126308458464757. The next prime is 126308458464761. The reversal of 126308458464760 is 67464854803621.

It is a junction number, because it is equal to n+sod(n) for n = 126308458464692 and 126308458464701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126308458464761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6942925 + ... + 17344195.

It is an arithmetic number, because the mean of its divisors is an integer number (1761201882195).

Almost surely, 2^{126308458464760} is an apocalyptic number.

126308458464760 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 126308458464760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169075380690720).

126308458464760 is an abundant number, since it is smaller than the sum of its proper divisors (211842302916680).

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

126308458464760 is a wasteful number, since it uses less digits than its factorization.

126308458464760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10401510 (or 10401495 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 64.

The spelling of 126308458464760 in words is "one hundred twenty-six trillion, three hundred eight billion, four hundred fifty-eight million, four hundred sixty-four thousand, seven hundred sixty".