84980121600 has 360 divisors, whose sum is σ = 306585877248. Its totient is φ = 20597964800.

The previous prime is 84980121599. The next prime is 84980121617. The reversal of 84980121600 is 612108948.

It is a super-3 number, since 3×84980121600³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13513657 + ... + 13519943.

Almost surely, 2^84980121600 is an apocalyptic number.

84980121600 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 84980121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153292938624).

84980121600 is an abundant number, since it is smaller than the sum of its proper divisors (221605755648).

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

84980121600 is a wasteful number, since it uses less digits than its factorization.

84980121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6339 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 84980121600 in words is "eighty-four billion, nine hundred eighty million, one hundred twenty-one thousand, six hundred".