80569958400 has 360 divisors, whose sum is σ = 289041795900. Its totient is φ = 21453864960.

The previous prime is 80569958363. The next prime is 80569958411. The reversal of 80569958400 is 485996508.

It is a happy number.

80569958400 is a `hidden beast` number, since 8 + 0 + 56 + 9 + 9 + 584 + 0 + 0 = 666.

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

It is a super-3 number, since 3×80569958400³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117964459 + ... + 117965141.

Almost surely, 2^80569958400 is an apocalyptic number.

80569958400 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 80569958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144520897950).

80569958400 is an abundant number, since it is smaller than the sum of its proper divisors (208471837500).

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

80569958400 is an frugal number, since it uses more digits than its factorization.

80569958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 80569958400 in words is "eighty billion, five hundred sixty-nine million, nine hundred fifty-eight thousand, four hundred".