83522416320 has 336 divisors, whose sum is σ = 329787065088. Its totient is φ = 19005696000.

The previous prime is 83522416301. The next prime is 83522416339. The reversal of 83522416320 is 2361422538.

83522416320 is a `hidden beast` number, since 8 + 352 + 241 + 63 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83522416301) and next prime (83522416339).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4567195 + ... + 4585445.

Almost surely, 2^83522416320 is an apocalyptic number.

83522416320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83522416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164893532544).

83522416320 is an abundant number, since it is smaller than the sum of its proper divisors (246264648768).

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

83522416320 is a wasteful number, since it uses less digits than its factorization.

83522416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18508 (or 18495 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 83522416320 its reverse (2361422538), we get a palindrome (85883838858).

The spelling of 83522416320 in words is "eighty-three billion, five hundred twenty-two million, four hundred sixteen thousand, three hundred twenty".