82988000550 has 384 divisors, whose sum is σ = 282718571520. Its totient is φ = 17430681600.

The previous prime is 82988000507. The next prime is 82988000561. The reversal of 82988000550 is 5500088928.

82988000550 is a `hidden beast` number, since 8 + 2 + 98 + 8 + 0 + 0 + 0 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 82988000496 and 82988000505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29605449 + ... + 29608251.

It is an arithmetic number, because the mean of its divisors is an integer number (736246280).

Almost surely, 2^82988000550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82988000550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141359285760).

82988000550 is an abundant number, since it is smaller than the sum of its proper divisors (199730570970).

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

82988000550 is a wasteful number, since it uses less digits than its factorization.

82988000550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 82988000550 in words is "eighty-two billion, nine hundred eighty-eight million, five hundred fifty", and thus it is an aban number.