86838998400 has 1920 divisors, whose sum is σ = 422392608000. Its totient is φ = 17020108800.

The previous prime is 86838998383. The next prime is 86838998401. The reversal of 86838998400 is 489983868.

86838998400 is a `hidden beast` number, since 8 + 68 + 3 + 89 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86838998401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 379209486 + ... + 379209714.

It is an arithmetic number, because the mean of its divisors is an integer number (219996150).

Almost surely, 2^86838998400 is an apocalyptic number.

86838998400 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 86838998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211196304000).

86838998400 is an abundant number, since it is smaller than the sum of its proper divisors (335553609600).

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

86838998400 is a wasteful number, since it uses less digits than its factorization.

86838998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 86838998400 in words is "eighty-six billion, eight hundred thirty-eight million, nine hundred ninety-eight thousand, four hundred".