86819342400 has 672 divisors, whose sum is σ = 368593908480. Its totient is φ = 19466403840.

The previous prime is 86819342371. The next prime is 86819342413. The reversal of 86819342400 is 424391868.

It is a happy number.

86819342400 is a `hidden beast` number, since 86 + 81 + 93 + 4 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16024492 + ... + 16029908.

It is an arithmetic number, because the mean of its divisors is an integer number (548502840).

Almost surely, 2^86819342400 is an apocalyptic number.

86819342400 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 86819342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184296954240).

86819342400 is an abundant number, since it is smaller than the sum of its proper divisors (281774566080).

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

86819342400 is a wasteful number, since it uses less digits than its factorization.

86819342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 86819342400 in words is "eighty-six billion, eight hundred nineteen million, three hundred forty-two thousand, four hundred".