80052468480 has 360 divisors, whose sum is σ = 287143164000. Its totient is φ = 21295153152.

The previous prime is 80052468467. The next prime is 80052468493. The reversal of 80052468480 is 8486425008.

80052468480 is a `hidden beast` number, since 80 + 0 + 52 + 46 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (80052468467) and next prime (80052468493).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 62103676 + ... + 62104964.

It is an arithmetic number, because the mean of its divisors is an integer number (797619900).

Almost surely, 2^80052468480 is an apocalyptic number.

80052468480 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 80052468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143571582000).

80052468480 is an abundant number, since it is smaller than the sum of its proper divisors (207090695520).

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

80052468480 is a wasteful number, since it uses less digits than its factorization.

80052468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 80052468480 in words is "eighty billion, fifty-two million, four hundred sixty-eight thousand, four hundred eighty".