86964019200 has 336 divisors, whose sum is σ = 319513061760. Its totient is φ = 23188930560.

The previous prime is 86964019187. The next prime is 86964019223. The reversal of 86964019200 is 291046968.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 5521737 + ... + 5537463.

Almost surely, 2^86964019200 is an apocalyptic number.

86964019200 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 86964019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159756530880).

86964019200 is an abundant number, since it is smaller than the sum of its proper divisors (232549042560).

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

86964019200 is a wasteful number, since it uses less digits than its factorization.

86964019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15772 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 86964019200 in words is "eighty-six billion, nine hundred sixty-four million, nineteen thousand, two hundred".