80485973568 has 1792 divisors, whose sum is σ = 349569024000. Its totient is φ = 17468006400.

The previous prime is 80485973567. The next prime is 80485973573. The reversal of 80485973568 is 86537958408.

80485973568 is a `hidden beast` number, since 8 + 0 + 4 + 8 + 597 + 35 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (80485973567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1018809753 + ... + 1018809831.

It is an arithmetic number, because the mean of its divisors is an integer number (195072000).

Almost surely, 2^80485973568 is an apocalyptic number.

80485973568 is a gapful number since it is divisible by the number (88) 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 80485973568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174784512000).

80485973568 is an abundant number, since it is smaller than the sum of its proper divisors (269083050432).

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

80485973568 is a wasteful number, since it uses less digits than its factorization.

80485973568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 80485973568 in words is "eighty billion, four hundred eighty-five million, nine hundred seventy-three thousand, five hundred sixty-eight".