80562309120 has 288 divisors, whose sum is σ = 295644618360. Its totient is φ = 20219166720.

The previous prime is 80562309083. The next prime is 80562309133. The reversal of 80562309120 is 2190326508.

80562309120 is a `hidden beast` number, since 8 + 0 + 5 + 623 + 0 + 9 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75225129984 + 5337179136 = 274272^2 + 73056^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1541010 + ... + 1592430.

Almost surely, 2^80562309120 is an apocalyptic number.

80562309120 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 80562309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147822309180).

80562309120 is an abundant number, since it is smaller than the sum of its proper divisors (215082309240).

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

80562309120 is a wasteful number, since it uses less digits than its factorization.

80562309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51471 (or 51448 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 80562309120 in words is "eighty billion, five hundred sixty-two million, three hundred nine thousand, one hundred twenty".