83951616000 has 640 divisors, whose sum is σ = 324538156800. Its totient is φ = 18874368000.

The previous prime is 83951615977. The next prime is 83951616011. The reversal of 83951616000 is 61615938.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×83951616000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83951616000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1376255970 + ... + 1376256030.

It is an arithmetic number, because the mean of its divisors is an integer number (507090870).

Almost surely, 2^83951616000 is an apocalyptic number.

83951616000 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 83951616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162269078400).

83951616000 is an abundant number, since it is smaller than the sum of its proper divisors (240586540800).

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

83951616000 is an frugal number, since it uses more digits than its factorization.

83951616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 83951616000 in words is "eighty-three billion, nine hundred fifty-one million, six hundred sixteen thousand".