83456399520 has 1440 divisors, whose sum is σ = 356946670080. Its totient is φ = 18184642560.

The previous prime is 83456399449. The next prime is 83456399531. The reversal of 83456399520 is 2599365438.

83456399520 is a `hidden beast` number, since 8 + 34 + 56 + 39 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 2692141905 + ... + 2692141935.

It is an arithmetic number, because the mean of its divisors is an integer number (247879632).

Almost surely, 2^83456399520 is an apocalyptic number.

83456399520 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 83456399520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178473335040).

83456399520 is an abundant number, since it is smaller than the sum of its proper divisors (273490270560).

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

83456399520 is a wasteful number, since it uses less digits than its factorization.

83456399520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 83456399520 in words is "eighty-three billion, four hundred fifty-six million, three hundred ninety-nine thousand, five hundred twenty".