39385128960 has 392 divisors, whose sum is σ = 141820422480. Its totient is φ = 10494738432.

The previous prime is 39385128943. The next prime is 39385128977. The reversal of 39385128960 is 6982158393.

39385128960 is a `hidden beast` number, since 3 + 9 + 38 + 512 + 8 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (39385128943) and next prime (39385128977).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 39385128897 and 39385128906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29859181 + ... + 29860499.

Almost surely, 2^39385128960 is an apocalyptic number.

39385128960 is a gapful number since it is divisible by the number (30) 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 39385128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70910211240).

39385128960 is an abundant number, since it is smaller than the sum of its proper divisors (102435293520).

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

39385128960 is an frugal number, since it uses more digits than its factorization.

39385128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 39385128960 in words is "thirty-nine billion, three hundred eighty-five million, one hundred twenty-eight thousand, nine hundred sixty".