86608742400 has 1152 divisors, whose sum is σ = 343178035200. Its totient is φ = 21366374400.

The previous prime is 86608742387. The next prime is 86608742449. The reversal of 86608742400 is 424780668.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1842739177 + ... + 1842739223.

It is an arithmetic number, because the mean of its divisors is an integer number (297897600).

Almost surely, 2^86608742400 is an apocalyptic number.

86608742400 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 86608742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171589017600).

86608742400 is an abundant number, since it is smaller than the sum of its proper divisors (256569292800).

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

86608742400 is a wasteful number, since it uses less digits than its factorization.

86608742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 86608742400 in words is "eighty-six billion, six hundred eight million, seven hundred forty-two thousand, four hundred".