6965205138 has 96 divisors (see below), whose sum is σ = 16148201472. Its totient is φ = 2164668000.

The previous prime is 6965205103. The next prime is 6965205139. The reversal of 6965205138 is 8315025696.

6965205138 is a `hidden beast` number, since 6 + 96 + 520 + 5 + 1 + 38 = 666.

It is a super-2 number, since 2×6965205138² = 97028165228843198088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6965205093 and 6965205102.

It is not an unprimeable number, because it can be changed into a prime (6965205139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6050863 + ... + 6052013.

It is an arithmetic number, because the mean of its divisors is an integer number (168210432).

Almost surely, 2^6965205138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6965205138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8074100736).

6965205138 is an abundant number, since it is smaller than the sum of its proper divisors (9182996334).

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

6965205138 is a wasteful number, since it uses less digits than its factorization.

6965205138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 6965205138 is about 83457.8045361846. The cubic root of 6965205138 is about 1909.7563844145.

The spelling of 6965205138 in words is "six billion, nine hundred sixty-five million, two hundred five thousand, one hundred thirty-eight".