86620223232000 has 672 divisors, whose sum is σ = 324079385797440. Its totient is φ = 23098676428800.

The previous prime is 86620223231953. The next prime is 86620223232019. The reversal of 86620223232000 is 23232202668.

86620223232000 is a `hidden beast` number, since 8 + 6 + 620 + 2 + 2 + 3 + 2 + 3 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 186391929 + ... + 186856071.

It is an arithmetic number, because the mean of its divisors is an integer number (482260990770).

Almost surely, 2^{86620223232000} is an apocalyptic number.

86620223232000 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 86620223232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162039692898720).

86620223232000 is an abundant number, since it is smaller than the sum of its proper divisors (237459162565440).

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

86620223232000 is an frugal number, since it uses more digits than its factorization.

86620223232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464198 (or 464153 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 86620223232000 its reverse (23232202668), we get a palindrome (86643455434668).

The spelling of 86620223232000 in words is "eighty-six trillion, six hundred twenty billion, two hundred twenty-three million, two hundred thirty-two thousand".