83535959954304 has 1792 divisors, whose sum is σ = 315520024800960. Its totient is φ = 21628079308800.

The previous prime is 83535959954273. The next prime is 83535959954353. The reversal of 83535959954304 is 40345995953538.

83535959954304 is a `hidden beast` number, since 8 + 3 + 5 + 3 + 59 + 59 + 95 + 430 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 13837326774 + ... + 13837332810.

Almost surely, 2^{83535959954304} 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 83535959954304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157760012400480).

83535959954304 is an abundant number, since it is smaller than the sum of its proper divisors (231984064846656).

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

83535959954304 is a wasteful number, since it uses less digits than its factorization.

83535959954304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 1574640000, while the sum is 72.

The spelling of 83535959954304 in words is "eighty-three trillion, five hundred thirty-five billion, nine hundred fifty-nine million, nine hundred fifty-four thousand, three hundred four".