84050084160 has 1512 divisors, whose sum is σ = 376141914720. Its totient is φ = 17777055744.

The previous prime is 84050084137. The next prime is 84050084177. The reversal of 84050084160 is 6148005048.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 215 ways as a sum of consecutive naturals, for example, 1954653099 + ... + 1954653141.

Almost surely, 2^84050084160 is an apocalyptic number.

84050084160 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 84050084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188070957360).

84050084160 is an abundant number, since it is smaller than the sum of its proper divisors (292091830560).

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

84050084160 is an equidigital number, since it uses as much as digits as its factorization.

84050084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 84050084160 in words is "eighty-four billion, fifty million, eighty-four thousand, one hundred sixty".