84865213440 has 528 divisors, whose sum is σ = 337551806592. Its totient is φ = 19312017408.

The previous prime is 84865213423. The next prime is 84865213453. The reversal of 84865213440 is 4431256848.

84865213440 is a `hidden beast` number, since 8 + 4 + 86 + 521 + 3 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 99025492 + ... + 99026348.

It is an arithmetic number, because the mean of its divisors is an integer number (639302664).

Almost surely, 2^84865213440 is an apocalyptic number.

84865213440 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 84865213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168775903296).

84865213440 is an abundant number, since it is smaller than the sum of its proper divisors (252686593152).

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

84865213440 is a wasteful number, since it uses less digits than its factorization.

84865213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 84865213440 in words is "eighty-four billion, eight hundred sixty-five million, two hundred thirteen thousand, four hundred forty".