84810905088 has 960 divisors, whose sum is σ = 308185608192. Its totient is φ = 20145438720.

The previous prime is 84810905087. The next prime is 84810905089. The reversal of 84810905088 is 88050901848.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84810905087) and next prime (84810905089).

It is a super-4 number, since 4×84810905088⁴ (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84810905088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84810905087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2292186606 + ... + 2292186642.

Almost surely, 2^84810905088 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 84810905088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154092804096).

84810905088 is an abundant number, since it is smaller than the sum of its proper divisors (223374703104).

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

84810905088 is a wasteful number, since it uses less digits than its factorization.

84810905088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 51.

The spelling of 84810905088 in words is "eighty-four billion, eight hundred ten million, nine hundred five thousand, eighty-eight".