39147828052608 has 448 divisors, whose sum is σ = 127653655125600. Its totient is φ = 11854393804800.

The previous prime is 39147828052591. The next prime is 39147828052609. The reversal of 39147828052608 is 80625082874193.

39147828052608 is a `hidden beast` number, since 3 + 9 + 14 + 7 + 8 + 2 + 8 + 0 + 5 + 2 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (39147828052609) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1497551218 + ... + 1497577358.

It is a 1-persistent number, because it is pandigital, but 2⋅39147828052608 = 78295656105216 is not.

Almost surely, 2^{39147828052608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39147828052608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63826827562800).

39147828052608 is an abundant number, since it is smaller than the sum of its proper divisors (88505827072992).

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

39147828052608 is a wasteful number, since it uses less digits than its factorization.

39147828052608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27643 (or 27616 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 39147828052608 in words is "thirty-nine trillion, one hundred forty-seven billion, eight hundred twenty-eight million, fifty-two thousand, six hundred eight".