84109267200 has 432 divisors, whose sum is σ = 322639349760. Its totient is φ = 18897346560.

The previous prime is 84109267189. The next prime is 84109267223. The reversal of 84109267200 is 276290148.

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, 7924297 + ... + 7934903.

Almost surely, 2^84109267200 is an apocalyptic number.

84109267200 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 84109267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161319674880).

84109267200 is an abundant number, since it is smaller than the sum of its proper divisors (238530082560).

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

84109267200 is a wasteful number, since it uses less digits than its factorization.

84109267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10702 (or 10683 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 84109267200 in words is "eighty-four billion, one hundred nine million, two hundred sixty-seven thousand, two hundred".