83052684288 has 704 divisors, whose sum is σ = 295134822400. Its totient is φ = 22574039040.

The previous prime is 83052684263. The next prime is 83052684331. The reversal of 83052684288 is 88248625038.

83052684288 is a `hidden beast` number, since 8 + 30 + 526 + 8 + 4 + 2 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653958081 + ... + 653958207.

It is an arithmetic number, because the mean of its divisors is an integer number (419225600).

Almost surely, 2^83052684288 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 83052684288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147567411200).

83052684288 is an abundant number, since it is smaller than the sum of its proper divisors (212082138112).

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

83052684288 is a wasteful number, since it uses less digits than its factorization.

83052684288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 83052684288 in words is "eighty-three billion, fifty-two million, six hundred eighty-four thousand, two hundred eighty-eight".