83655055638 has 256 divisors, whose sum is σ = 235510087680. Its totient is φ = 21380889600.

The previous prime is 83655055637. The next prime is 83655055643.

83655055638 is a `hidden beast` number, since 8 + 3 + 6 + 5 + 50 + 556 + 38 = 666.

83655055638 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83655055633) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85101295 + ... + 85102277.

It is an arithmetic number, because the mean of its divisors is an integer number (919961280).

Almost surely, 2^83655055638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83655055638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117755043840).

83655055638 is an abundant number, since it is smaller than the sum of its proper divisors (151855032042).

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

83655055638 is a wasteful number, since it uses less digits than its factorization.

83655055638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 83655055638 in words is "eighty-three billion, six hundred fifty-five million, fifty-five thousand, six hundred thirty-eight".