38065152560760 has 192 divisors, whose sum is σ = 133233274399680. Its totient is φ = 9369515151360.

The previous prime is 38065152560741. The next prime is 38065152560761. The reversal of 38065152560760 is 6706525156083.

It is a happy number.

38065152560760 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 5 + 1 + 5 + 2 + 560 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38065152560697 and 38065152560706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38065152560761) 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, 130177920 + ... + 130470000.

It is an arithmetic number, because the mean of its divisors is an integer number (693923304165).

Almost surely, 2^{38065152560760} is an apocalyptic number.

38065152560760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38065152560760 is an abundant number, since it is smaller than the sum of its proper divisors (95168121838920).

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

38065152560760 is a wasteful number, since it uses less digits than its factorization.

38065152560760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319958 (or 319951 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 38065152560760 in words is "thirty-eight trillion, sixty-five billion, one hundred fifty-two million, five hundred sixty thousand, seven hundred sixty".