86015404800 has 648 divisors, whose sum is σ = 333143580224. Its totient is φ = 21047869440.

The previous prime is 86015404799. The next prime is 86015404831. The reversal of 86015404800 is 840451068.

86015404800 is a `hidden beast` number, since 8 + 601 + 5 + 4 + 0 + 48 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234374217 + ... + 234374583.

Almost surely, 2^86015404800 is an apocalyptic number.

86015404800 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 86015404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166571790112).

86015404800 is an abundant number, since it is smaller than the sum of its proper divisors (247128175424).

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

86015404800 is a wasteful number, since it uses less digits than its factorization.

86015404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 86015404800 its reverse (840451068), we get a palindrome (86855855868).

The spelling of 86015404800 in words is "eighty-six billion, fifteen million, four hundred four thousand, eight hundred".