38461538210560 has 72 divisors (see below), whose sum is σ = 92692602540720. Its totient is φ = 15290231058432.

The previous prime is 38461538210551. The next prime is 38461538210569. The reversal of 38461538210560 is 6501283516483.

It is an interprime number because it is at equal distance from previous prime (38461538210551) and next prime (38461538210569).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38461538210498 and 38461538210507.

It is not an unprimeable number, because it can be changed into a prime (38461538210569) 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, 91963375 + ... + 92380654.

It is an arithmetic number, because the mean of its divisors is an integer number (1287397257510).

Almost surely, 2^{38461538210560} is an apocalyptic number.

It is an amenable number.

38461538210560 is an abundant number, since it is smaller than the sum of its proper divisors (54231064330160).

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

38461538210560 is a wasteful number, since it uses less digits than its factorization.

38461538210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184344213 (or 184344199 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 38461538210560 in words is "thirty-eight trillion, four hundred sixty-one billion, five hundred thirty-eight million, two hundred ten thousand, five hundred sixty".