83861318400 has 432 divisors, whose sum is σ = 301409875200. Its totient is φ = 20452884480.

The previous prime is 83861318341. The next prime is 83861318407. The reversal of 83861318400 is 481316838.

It is not an unprimeable number, because it can be changed into a prime (83861318407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10575237 + ... + 10583163.

Almost surely, 2^83861318400 is an apocalyptic number.

83861318400 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 83861318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150704937600).

83861318400 is an abundant number, since it is smaller than the sum of its proper divisors (217548556800).

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

83861318400 is a wasteful number, since it uses less digits than its factorization.

83861318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 83861318400 in words is "eighty-three billion, eight hundred sixty-one million, three hundred eighteen thousand, four hundred".