83851506801120 has 384 divisors, whose sum is σ = 271559810995200. Its totient is φ = 21740481036288.

The previous prime is 83851506801059. The next prime is 83851506801143. The reversal of 83851506801120 is 2110860515838.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83851506801120.

It is a congruent number.

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, 2359802874 + ... + 2359838406.

It is an arithmetic number, because the mean of its divisors is an integer number (707187007800).

Almost surely, 2^{83851506801120} is an apocalyptic number.

83851506801120 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 83851506801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135779905497600).

83851506801120 is an abundant number, since it is smaller than the sum of its proper divisors (187708304194080).

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

83851506801120 is a wasteful number, since it uses less digits than its factorization.

83851506801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36522 (or 36514 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 83851506801120 in words is "eighty-three trillion, eight hundred fifty-one billion, five hundred six million, eight hundred one thousand, one hundred twenty".