86263250400 has 864 divisors, whose sum is σ = 330650087040. Its totient is φ = 21924587520.

The previous prime is 86263250383. The next prime is 86263250401. The reversal of 86263250400 is 405236268.

86263250400 is a `hidden beast` number, since 8 + 626 + 3 + 25 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86263250401) 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 143 ways as a sum of consecutive naturals, for example, 481917511 + ... + 481917689.

It is an arithmetic number, because the mean of its divisors is an integer number (382696860).

Almost surely, 2^86263250400 is an apocalyptic number.

86263250400 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 86263250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165325043520).

86263250400 is an abundant number, since it is smaller than the sum of its proper divisors (244386836640).

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

86263250400 is a wasteful number, since it uses less digits than its factorization.

86263250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 86263250400 its reverse (405236268), we get a palindrome (86668486668).

The spelling of 86263250400 in words is "eighty-six billion, two hundred sixty-three million, two hundred fifty thousand, four hundred".