39085953519376 has 75 divisors (see below), whose sum is σ = 77206659472261. Its totient is φ = 19168952026112.

The previous prime is 39085953519341. The next prime is 39085953519397. The reversal of 39085953519376 is 67391535958093.

The square root of 39085953519376 is 6251876.

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

It can be written as a sum of positive squares in only one way, i.e., 23885935880976 + 15200017638400 = 4887324^2 + 3898720^2 .

It is a super-2 number, since 2×39085953519376² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39085953519299 and 39085953519308.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 87051121200 + ... + 87051121648.

Almost surely, 2^{39085953519376} is an apocalyptic number.

39085953519376 is the 6251876-th square number.

It is an amenable number.

39085953519376 is a deficient number, since it is larger than the sum of its proper divisors (38120705952885).

39085953519376 is an frugal number, since it uses more digits than its factorization.

39085953519376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 826686000, while the sum is 73.

The spelling of 39085953519376 in words is "thirty-nine trillion, eighty-five billion, nine hundred fifty-three million, five hundred nineteen thousand, three hundred seventy-six".