83880547200 has 288 divisors, whose sum is σ = 306270118440. Its totient is φ = 21847633920.

The previous prime is 83880547181. The next prime is 83880547207. The reversal of 83880547200 is 274508838.

83880547200 is a `hidden beast` number, since 8 + 3 + 8 + 80 + 547 + 20 + 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83880547207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1204534 + ... + 1272266.

Almost surely, 2^83880547200 is an apocalyptic number.

83880547200 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 83880547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153135059220).

83880547200 is an abundant number, since it is smaller than the sum of its proper divisors (222389571240).

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

83880547200 is a wasteful number, since it uses less digits than its factorization.

83880547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67806 (or 67786 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 83880547200 in words is "eighty-three billion, eight hundred eighty million, five hundred forty-seven thousand, two hundred".