83851156800 has 336 divisors, whose sum is σ = 316213540800. Its totient is φ = 21588940800.

The previous prime is 83851156777. The next prime is 83851156841. The reversal of 83851156800 is 865115838.

83851156800 is a `hidden beast` number, since 8 + 3 + 8 + 511 + 56 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219335 + ... + 1286265.

Almost surely, 2^83851156800 is an apocalyptic number.

83851156800 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 83851156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158106770400).

83851156800 is an abundant number, since it is smaller than the sum of its proper divisors (232362384000).

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

83851156800 is a wasteful number, since it uses less digits than its factorization.

83851156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66991 (or 66970 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 83851156800 in words is "eighty-three billion, eight hundred fifty-one million, one hundred fifty-six thousand, eight hundred".