86920459200 has 1008 divisors, whose sum is σ = 341116042176. Its totient is φ = 20924006400.

The previous prime is 86920459189. The next prime is 86920459217. The reversal of 86920459200 is 295402968.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 502430314 + ... + 502430486.

It is an arithmetic number, because the mean of its divisors is an integer number (338408772).

Almost surely, 2^86920459200 is an apocalyptic number.

86920459200 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 86920459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170558021088).

86920459200 is an abundant number, since it is smaller than the sum of its proper divisors (254195582976).

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

86920459200 is a wasteful number, since it uses less digits than its factorization.

86920459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 86920459200 in words is "eighty-six billion, nine hundred twenty million, four hundred fifty-nine thousand, two hundred".