80468035200 has 1152 divisors, whose sum is σ = 348212088000. Its totient is φ = 18091745280.

The previous prime is 80468035183. The next prime is 80468035289. The reversal of 80468035200 is 253086408.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 351388686 + ... + 351388914.

Almost surely, 2^80468035200 is an apocalyptic number.

80468035200 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 80468035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174106044000).

80468035200 is an abundant number, since it is smaller than the sum of its proper divisors (267744052800).

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

80468035200 is a wasteful number, since it uses less digits than its factorization.

80468035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 80468035200 in words is "eighty billion, four hundred sixty-eight million, thirty-five thousand, two hundred".