83185006752 has 120 divisors (see below), whose sum is σ = 255281707296. Its totient is φ = 26522736768.

The previous prime is 83185006739. The next prime is 83185006753. The reversal of 83185006752 is 25760058138.

83185006752 is a `hidden beast` number, since 8 + 31 + 8 + 500 + 67 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83185006698 and 83185006707.

It is not an unprimeable number, because it can be changed into a prime (83185006753) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 638058 + ... + 757289.

Almost surely, 2^83185006752 is an apocalyptic number.

It is an amenable number.

83185006752 is an abundant number, since it is smaller than the sum of its proper divisors (172096700544).

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

83185006752 is a wasteful number, since it uses less digits than its factorization.

83185006752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395392 (or 1395375 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 83185006752 in words is "eighty-three billion, one hundred eighty-five million, six thousand, seven hundred fifty-two".