83923557705 has 384 divisors, whose sum is σ = 182598893568. Its totient is φ = 36557402112.

The previous prime is 83923557703. The next prime is 83923557761. The reversal of 83923557705 is 50775532938.

83923557705 is a `hidden beast` number, since 8 + 39 + 2 + 35 + 577 + 0 + 5 = 666.

It is not a de Polignac number, because 83923557705 - 2¹ = 83923557703 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83923557701) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 660815352 + ... + 660815478.

It is an arithmetic number, because the mean of its divisors is an integer number (475517952).

Almost surely, 2^83923557705 is an apocalyptic number.

83923557705 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83923557705 is an abundant number, since it is smaller than the sum of its proper divisors (98675335863).

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

83923557705 is a wasteful number, since it uses less digits than its factorization.

83923557705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 83923557705 in words is "eighty-three billion, nine hundred twenty-three million, five hundred fifty-seven thousand, seven hundred five".