80574345600 has 576 divisors, whose sum is σ = 311905751040. Its totient is φ = 18227220480.

The previous prime is 80574345583. The next prime is 80574345623. The reversal of 80574345600 is 654347508.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48450369 + ... + 48452031.

It is an arithmetic number, because the mean of its divisors is an integer number (541503040).

Almost surely, 2^80574345600 is an apocalyptic number.

80574345600 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 80574345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155952875520).

80574345600 is an abundant number, since it is smaller than the sum of its proper divisors (231331405440).

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

80574345600 is a wasteful number, since it uses less digits than its factorization.

80574345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 80574345600 in words is "eighty billion, five hundred seventy-four million, three hundred forty-five thousand, six hundred".