85633077933 has 40 divisors (see below), whose sum is σ = 137859922200. Its totient is φ = 52659476352.

The previous prime is 85633077863. The next prime is 85633077949. The reversal of 85633077933 is 33977033658.

85633077933 is a `hidden beast` number, since 8 + 563 + 3 + 0 + 7 + 79 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3655653444 + 81977424489 = 60462^2 + 286317^2 .

It is not a de Polignac number, because 85633077933 - 2¹⁸ = 85632815789 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85633077933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85633070933) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1476283 + ... + 1533191.

It is an arithmetic number, because the mean of its divisors is an integer number (3446498055).

Almost surely, 2^85633077933 is an apocalyptic number.

It is an amenable number.

85633077933 is a deficient number, since it is larger than the sum of its proper divisors (52226844267).

85633077933 is a wasteful number, since it uses less digits than its factorization.

85633077933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58363 (or 58354 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 85633077933 in words is "eighty-five billion, six hundred thirty-three million, seventy-seven thousand, nine hundred thirty-three".