83705530692432 has 240 divisors, whose sum is σ = 244705510831040. Its totient is φ = 24619395778560.

The previous prime is 83705530692379. The next prime is 83705530692437. The reversal of 83705530692432 is 23429603550738.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83705530692437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87416283 + ... + 88368645.

Almost surely, 2^{83705530692432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83705530692432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122352755415520).

83705530692432 is an abundant number, since it is smaller than the sum of its proper divisors (160999980138608).

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

83705530692432 is a wasteful number, since it uses less digits than its factorization.

83705530692432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952842 (or 952825 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 83705530692432 in words is "eighty-three trillion, seven hundred five billion, five hundred thirty million, six hundred ninety-two thousand, four hundred thirty-two".