80587854400 has 189 divisors, whose sum is σ = 203955973977. Its totient is φ = 31340352000.

The previous prime is 80587854371. The next prime is 80587854409. The reversal of 80587854400 is 445878508.

The square root of 80587854400 is 283880.

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

It can be written as a sum of positive squares in only one way, i.e., 29011627584 + 51576226816 = 170328^2 + 227104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80587854409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 533694325 + ... + 533694475.

Almost surely, 2^80587854400 is an apocalyptic number.

80587854400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80587854400 is the 283880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80587854400

80587854400 is an abundant number, since it is smaller than the sum of its proper divisors (123368119577).

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

80587854400 is an equidigital number, since it uses as much as digits as its factorization.

80587854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 49.

Multiplying 80587854400 by its sum of digits (49), we get a square (3948804865600 = 1987160²).

The spelling of 80587854400 in words is "eighty billion, five hundred eighty-seven million, eight hundred fifty-four thousand, four hundred".