83955798333120 has 448 divisors, whose sum is σ = 318327353671680. Its totient is φ = 18329999880192.

The previous prime is 83955798333119. The next prime is 83955798333161. The reversal of 83955798333120 is 2133389755938.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×83955798333120³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110750899 + ... + 111506381.

Almost surely, 2^{83955798333120} is an apocalyptic number.

83955798333120 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 83955798333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159163676835840).

83955798333120 is an abundant number, since it is smaller than the sum of its proper divisors (234371555338560).

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

83955798333120 is a wasteful number, since it uses less digits than its factorization.

83955798333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756252 (or 756242 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 66.

The spelling of 83955798333120 in words is "eighty-three trillion, nine hundred fifty-five billion, seven hundred ninety-eight million, three hundred thirty-three thousand, one hundred twenty".