126076165205760 has 3456 divisors, whose sum is σ = 574744962355200. Its totient is φ = 24966913720320.

The previous prime is 126076165205651. The next prime is 126076165205789. The reversal of 126076165205760 is 67502561670621.

It is a happy number.

126076165205760 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 7 + 6 + 1 + 6 + 520 + 57 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126076165205697 and 126076165205706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 210477737941 + ... + 210477738539.

It is an arithmetic number, because the mean of its divisors is an integer number (166303519200).

Almost surely, 2^{126076165205760} is an apocalyptic number.

126076165205760 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 126076165205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287372481177600).

126076165205760 is an abundant number, since it is smaller than the sum of its proper divisors (448668797149440).

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

126076165205760 is a wasteful number, since it uses less digits than its factorization.

126076165205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 126076165205760 in words is "one hundred twenty-six trillion, seventy-six billion, one hundred sixty-five million, two hundred five thousand, seven hundred sixty".