84089257824 has 768 divisors, whose sum is σ = 285603397632. Its totient is φ = 21466368000.

The previous prime is 84089257817. The next prime is 84089257831. The reversal of 84089257824 is 42875298048.

It is an interprime number because it is at equal distance from previous prime (84089257817) and next prime (84089257831).

It is a super-2 number, since 2×84089257824² (a number of 23 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1184355709 + ... + 1184355779.

It is an arithmetic number, because the mean of its divisors is an integer number (371879424).

Almost surely, 2^84089257824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84089257824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142801698816).

84089257824 is an abundant number, since it is smaller than the sum of its proper divisors (201514139808).

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

84089257824 is a wasteful number, since it uses less digits than its factorization.

84089257824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 84089257824 in words is "eighty-four billion, eighty-nine million, two hundred fifty-seven thousand, eight hundred twenty-four".