83420457600 has 288 divisors, whose sum is σ = 290000679840. Its totient is φ = 21073766400.

The previous prime is 83420457539. The next prime is 83420457641. The reversal of 83420457600 is 675402438.

It is a happy 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 35 ways as a sum of consecutive naturals, for example, 3453565 + ... + 3477635.

It is an arithmetic number, because the mean of its divisors is an integer number (1006946805).

Almost surely, 2^83420457600 is an apocalyptic number.

83420457600 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 83420457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145000339920).

83420457600 is an abundant number, since it is smaller than the sum of its proper divisors (206580222240).

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

83420457600 is a wasteful number, since it uses less digits than its factorization.

83420457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24136 (or 24100 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 83420457600 in words is "eighty-three billion, four hundred twenty million, four hundred fifty-seven thousand, six hundred".