82803960046080 has 3200 divisors, whose sum is σ = 388354288734720. Its totient is φ = 16373702983680.

The previous prime is 82803960046079. The next prime is 82803960046081. The reversal of 82803960046080 is 8064006930828.

82803960046080 is a `hidden beast` number, since 8 + 28 + 0 + 3 + 9 + 6 + 0 + 0 + 4 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82803960046079) and next prime (82803960046081).

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

It is not an unprimeable number, because it can be changed into a prime (82803960046081) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 34776966490 + ... + 34776968870.

Almost surely, 2^{82803960046080} is an apocalyptic number.

82803960046080 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 82803960046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194177144367360).

82803960046080 is an abundant number, since it is smaller than the sum of its proper divisors (305550328688640).

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

82803960046080 is a wasteful number, since it uses less digits than its factorization.

82803960046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 82803960046080 in words is "eighty-two trillion, eight hundred three billion, nine hundred sixty million, forty-six thousand, eighty".