84953868800 has 120 divisors (see below), whose sum is σ = 222861585276. Its totient is φ = 31982551040.

The previous prime is 84953868799. The next prime is 84953868823. The reversal of 84953868800 is 886835948.

It can be written as a sum of positive squares in 6 ways, for example, as 33544655104 + 51409213696 = 183152^2 + 226736^2 .

It is a super-2 number, since 2×84953868800² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84953868800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22394 + ... + 412806.

Almost surely, 2^84953868800 is an apocalyptic number.

84953868800 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 84953868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111430792638).

84953868800 is an abundant number, since it is smaller than the sum of its proper divisors (137907716476).

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

84953868800 is a wasteful number, since it uses less digits than its factorization.

84953868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390458 (or 390437 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 59.

The spelling of 84953868800 in words is "eighty-four billion, nine hundred fifty-three million, eight hundred sixty-eight thousand, eight hundred".