80406577152 has 612 divisors, whose sum is σ = 278611857576. Its totient is φ = 22932357120.

The previous prime is 80406577117. The next prime is 80406577159. The reversal of 80406577152 is 25177560408.

80406577152 is a `hidden beast` number, since 80 + 406 + 57 + 71 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (612).

It is a super-2 number, since 2×80406577152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80406577098 and 80406577107.

It is not an unprimeable number, because it can be changed into a prime (80406577159) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4729798648 + ... + 4729798664.

Almost surely, 2^80406577152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80406577152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139305928788).

80406577152 is an abundant number, since it is smaller than the sum of its proper divisors (198205280424).

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

80406577152 is an frugal number, since it uses more digits than its factorization.

80406577152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 80406577152 in words is "eighty billion, four hundred six million, five hundred seventy-seven thousand, one hundred fifty-two".