84911412480 has 288 divisors, whose sum is σ = 279742232448. Its totient is φ = 21934080000.

The previous prime is 84911412461. The next prime is 84911412491. The reversal of 84911412480 is 8421411948.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35660890 + ... + 35663270.

It is an arithmetic number, because the mean of its divisors is an integer number (971327196).

Almost surely, 2^84911412480 is an apocalyptic number.

84911412480 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 84911412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139871116224).

84911412480 is an abundant number, since it is smaller than the sum of its proper divisors (194830819968).

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

84911412480 is a wasteful number, since it uses less digits than its factorization.

84911412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 84911412480 in words is "eighty-four billion, nine hundred eleven million, four hundred twelve thousand, four hundred eighty".