86296039200 has 2160 divisors, whose sum is σ = 414882445824. Its totient is φ = 17020108800.

The previous prime is 86296039189. The next prime is 86296039243. The reversal of 86296039200 is 293069268.

It is a tau number, because it is divible by the number of its divisors (2160).

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 359 ways as a sum of consecutive naturals, for example, 2783743185 + ... + 2783743215.

Almost surely, 2^86296039200 is an apocalyptic number.

86296039200 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 86296039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207441222912).

86296039200 is an abundant number, since it is smaller than the sum of its proper divisors (328586406624).

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

86296039200 is a wasteful number, since it uses less digits than its factorization.

86296039200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 86296039200 in words is "eighty-six billion, two hundred ninety-six million, thirty-nine thousand, two hundred".