83315796480 has 1440 divisors, whose sum is σ = 367736713344. Its totient is φ = 17700913152.

The previous prime is 83315796467. The next prime is 83315796497. The reversal of 83315796480 is 8469751338.

83315796480 is a `hidden beast` number, since 8 + 3 + 3 + 1 + 579 + 64 + 8 + 0 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1571996134 + ... + 1571996186.

Almost surely, 2^83315796480 is an apocalyptic number.

83315796480 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 83315796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183868356672).

83315796480 is an abundant number, since it is smaller than the sum of its proper divisors (284420916864).

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

83315796480 is an equidigital number, since it uses as much as digits as its factorization.

83315796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 83315796480 in words is "eighty-three billion, three hundred fifteen million, seven hundred ninety-six thousand, four hundred eighty".