39385766052864 has 1485 divisors, whose sum is σ = 150917599509831. Its totient is φ = 10193920450560.

The previous prime is 39385766052859. The next prime is 39385766052883. The reversal of 39385766052864 is 46825066758393.

The square root of 39385766052864 is 6275808.

It is a perfect power (a square), and thus also a powerful number.

39385766052864 is a `hidden beast` number, since 3 + 9 + 3 + 8 + 5 + 7 + 6 + 605 + 2 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 39385766052792 and 39385766052801.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 139172318067 + ... + 139172318349.

Almost surely, 2^{39385766052864} is an apocalyptic number.

39385766052864 is the 6275808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39385766052864

39385766052864 is an abundant number, since it is smaller than the sum of its proper divisors (111531833456967).

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

39385766052864 is an equidigital number, since it uses as much as digits as its factorization.

39385766052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 39385766052864 in words is "thirty-nine trillion, three hundred eighty-five billion, seven hundred sixty-six million, fifty-two thousand, eight hundred sixty-four".