84923804160 has 640 divisors, whose sum is σ = 336165984000. Its totient is φ = 20177289216.

The previous prime is 84923804137. The next prime is 84923804179. The reversal of 84923804160 is 6140832948.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26056611 + ... + 26059869.

It is an arithmetic number, because the mean of its divisors is an integer number (525259350).

Almost surely, 2^84923804160 is an apocalyptic number.

84923804160 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 84923804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168082992000).

84923804160 is an abundant number, since it is smaller than the sum of its proper divisors (251242179840).

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

84923804160 is a wasteful number, since it uses less digits than its factorization.

84923804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 84923804160 in words is "eighty-four billion, nine hundred twenty-three million, eight hundred four thousand, one hundred sixty".