86942450563200 has 672 divisors, whose sum is σ = 322174645323300. Its totient is φ = 23173176729600.

The previous prime is 86942450563147. The next prime is 86942450563201. The reversal of 86942450563200 is 236505424968.

86942450563200 is a `hidden beast` number, since 8 + 6 + 9 + 4 + 2 + 4 + 50 + 563 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 43024049169984 + 43918401393216 = 6559272^2 + 6627096^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86942450563201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5386427130 + ... + 5386443270.

Almost surely, 2^{86942450563200} is an apocalyptic number.

86942450563200 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 86942450563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161087322661650).

86942450563200 is an abundant number, since it is smaller than the sum of its proper divisors (235232194760100).

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

86942450563200 is a wasteful number, since it uses less digits than its factorization.

86942450563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18492 (or 18460 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 86942450563200 in words is "eighty-six trillion, nine hundred forty-two billion, four hundred fifty million, five hundred sixty-three thousand, two hundred".