83332483153920 has 7168 divisors, whose sum is σ = 436682492305920. Its totient is φ = 14676708556800.

The previous prime is 83332483153919. The next prime is 83332483153951. The reversal of 83332483153920 is 2935138423338.

83332483153920 is a `hidden beast` number, since 8 + 3 + 3 + 3 + 2 + 4 + 83 + 1 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (7168).

It is a super-2 number, since 2×83332483153920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 447 ways as a sum of consecutive naturals, for example, 2032499589100 + ... + 2032499589140.

Almost surely, 2^{83332483153920} is an apocalyptic number.

83332483153920 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 83332483153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218341246152960).

83332483153920 is an abundant number, since it is smaller than the sum of its proper divisors (353350009152000).

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

83332483153920 is a wasteful number, since it uses less digits than its factorization.

83332483153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 83332483153920 in words is "eighty-three trillion, three hundred thirty-two billion, four hundred eighty-three million, one hundred fifty-three thousand, nine hundred twenty".