84953868824 has 64 divisors (see below), whose sum is σ = 177945863040. Its totient is φ = 37688636160.

The previous prime is 84953868823. The next prime is 84953868841. The reversal of 84953868824 is 42886835948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84953868823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5414639 + ... + 5430305.

It is an arithmetic number, because the mean of its divisors is an integer number (2780404110).

Almost surely, 2^84953868824 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 84953868824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88972931520).

84953868824 is an abundant number, since it is smaller than the sum of its proper divisors (92991994216).

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

84953868824 is a wasteful number, since it uses less digits than its factorization.

84953868824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17160 (or 17156 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 65.

The spelling of 84953868824 in words is "eighty-four billion, nine hundred fifty-three million, eight hundred sixty-eight thousand, eight hundred twenty-four".