38820126616760 has 32 divisors (see below), whose sum is σ = 87345522620640. Its totient is φ = 15528008383104.

The previous prime is 38820126616757. The next prime is 38820126616769. The reversal of 38820126616760 is 6761662102883.

It is a junction number, because it is equal to n+sod(n) for n = 38820126616696 and 38820126616705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38820126616769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16541909 + ... + 18742331.

It is an arithmetic number, because the mean of its divisors is an integer number (2729547581895).

Almost surely, 2^{38820126616760} is an apocalyptic number.

It is an amenable number.

38820126616760 is an abundant number, since it is smaller than the sum of its proper divisors (48525396003880).

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

38820126616760 is a wasteful number, since it uses less digits than its factorization.

38820126616760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641487 (or 2641483 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 38820126616760 in words is "thirty-eight trillion, eight hundred twenty billion, one hundred twenty-six million, six hundred sixteen thousand, seven hundred sixty".