82685940480 has 1296 divisors, whose sum is σ = 353266236960. Its totient is φ = 18503147520.

The previous prime is 82685940461. The next prime is 82685940503. The reversal of 82685940480 is 8404958628.

82685940480 is a `hidden beast` number, since 8 + 2 + 6 + 8 + 594 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6360456954 + ... + 6360456966.

Almost surely, 2^82685940480 is an apocalyptic number.

82685940480 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 82685940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176633118480).

82685940480 is an abundant number, since it is smaller than the sum of its proper divisors (270580296480).

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

82685940480 is an equidigital number, since it uses as much as digits as its factorization.

82685940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

It can be divided in two parts, 82685 and 940480, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 82685940480 in words is "eighty-two billion, six hundred eighty-five million, nine hundred forty thousand, four hundred eighty".