80565145600 has 117 divisors (see below), whose sum is σ = 200002653097. Its totient is φ = 32189726720.

The previous prime is 80565145597. The next prime is 80565145603. The reversal of 80565145600 is 654156508.

The square root of 80565145600 is 283840.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (80565145597) and next prime (80565145603).

It can be written as a sum of positive squares in only one way, i.e., 29003452416 + 51561693184 = 170304^2 + 227072^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80565145603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90828357 + ... + 90829243.

Almost surely, 2^80565145600 is an apocalyptic number.

80565145600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80565145600 is the 283840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80565145600

80565145600 is an abundant number, since it is smaller than the sum of its proper divisors (119437507497).

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

80565145600 is an frugal number, since it uses more digits than its factorization.

80565145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 80565145600 in words is "eighty billion, five hundred sixty-five million, one hundred forty-five thousand, six hundred".