83949868800 has 432 divisors, whose sum is σ = 351817204480. Its totient is φ = 19188264960.

The previous prime is 83949868799. The next prime is 83949868813. The reversal of 83949868800 is 886894938.

83949868800 is a `hidden beast` number, since 8 + 3 + 9 + 498 + 68 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1174899 + ... + 1244301.

Almost surely, 2^83949868800 is an apocalyptic number.

83949868800 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 83949868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175908602240).

83949868800 is an abundant number, since it is smaller than the sum of its proper divisors (267867335680).

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

83949868800 is a wasteful number, since it uses less digits than its factorization.

83949868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69445 (or 69420 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 83949868800 in words is "eighty-three billion, nine hundred forty-nine million, eight hundred sixty-eight thousand, eight hundred".