80639431200 has 288 divisors, whose sum is σ = 296004179520. Its totient is φ = 21182515200.

The previous prime is 80639431193. The next prime is 80639431211. The reversal of 80639431200 is 213493608.

80639431200 is a `hidden beast` number, since 8 + 0 + 639 + 4 + 3 + 12 + 0 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1419340 + ... + 1475060.

It is an arithmetic number, because the mean of its divisors is an integer number (1027792290).

Almost surely, 2^80639431200 is an apocalyptic number.

80639431200 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 80639431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148002089760).

80639431200 is an abundant number, since it is smaller than the sum of its proper divisors (215364748320).

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

80639431200 is a wasteful number, since it uses less digits than its factorization.

80639431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55817 (or 55798 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 80639431200 in words is "eighty billion, six hundred thirty-nine million, four hundred thirty-one thousand, two hundred".