39899385027216 has 945 divisors, whose sum is σ = 138291135009867. Its totient is φ = 11133379445760.

The previous prime is 39899385027199. The next prime is 39899385027217. The reversal of 39899385027216 is 61272058399893.

The square root of 39899385027216 is 6316596.

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

39899385027216 is a `hidden beast` number, since 3 + 9 + 8 + 9 + 9 + 38 + 502 + 72 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 374323712400 + 39525061314816 = 611820^2 + 6286896^2 .

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

It is not an unprimeable number, because it can be changed into a prime (39899385027217) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 97553508420 + ... + 97553508828.

Almost surely, 2^{39899385027216} is an apocalyptic number.

39899385027216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39899385027216 is the 6316596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39899385027216

39899385027216 is an abundant number, since it is smaller than the sum of its proper divisors (98391749982651).

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

39899385027216 is an equidigital number, since it uses as much as digits as its factorization.

39899385027216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 39899385027216 in words is "thirty-nine trillion, eight hundred ninety-nine billion, three hundred eighty-five million, twenty-seven thousand, two hundred sixteen".