83550038072256 has 448 divisors, whose sum is σ = 289567598054400. Its totient is φ = 23123918942208.

The previous prime is 83550038072161. The next prime is 83550038072269. The reversal of 83550038072256 is 65227083005538.

83550038072256 is a `hidden beast` number, since 8 + 3 + 5 + 5 + 0 + 0 + 380 + 7 + 2 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 101183110 + ... + 102005498.

Almost surely, 2^{83550038072256} 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 83550038072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144783799027200).

83550038072256 is an abundant number, since it is smaller than the sum of its proper divisors (206017559982144).

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

83550038072256 is a wasteful number, since it uses less digits than its factorization.

83550038072256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822681 (or 822665 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 83550038072256 in words is "eighty-three trillion, five hundred fifty billion, thirty-eight million, seventy-two thousand, two hundred fifty-six".