83872966320 has 1120 divisors, whose sum is σ = 350420696640. Its totient is φ = 18393661440.

The previous prime is 83872966301. The next prime is 83872966339. The reversal of 83872966320 is 2366927838.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83872966301) and next prime (83872966339).

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 223 ways as a sum of consecutive naturals, for example, 742238584 + ... + 742238696.

It is an arithmetic number, because the mean of its divisors is an integer number (312875622).

Almost surely, 2^83872966320 is an apocalyptic number.

83872966320 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 83872966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175210348320).

83872966320 is an abundant number, since it is smaller than the sum of its proper divisors (266547730320).

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

83872966320 is a wasteful number, since it uses less digits than its factorization.

83872966320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 83872966320 in words is "eighty-three billion, eight hundred seventy-two million, nine hundred sixty-six thousand, three hundred twenty".