84110906880 has 1440 divisors, whose sum is σ = 398864033568. Its totient is φ = 16102195200.

The previous prime is 84110906857. The next prime is 84110906881. The reversal of 84110906880 is 8860901148.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×84110906880³ (a number of 34 digits) contains 333 as substring.

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 (84110906881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161441020 + ... + 161441540.

Almost surely, 2^84110906880 is an apocalyptic number.

84110906880 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 84110906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199432016784).

84110906880 is an abundant number, since it is smaller than the sum of its proper divisors (314753126688).

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

84110906880 is a wasteful number, since it uses less digits than its factorization.

84110906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 84110906880 in words is "eighty-four billion, one hundred ten million, nine hundred six thousand, eight hundred eighty".