86075214485600 has 216 divisors, whose sum is σ = 213155897040072. Its totient is φ = 33941414707200.

The previous prime is 86075214485597. The next prime is 86075214485621. The reversal of 86075214485600 is 658441257068.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11642795504 + ... + 11642802896.

It is an arithmetic number, because the mean of its divisors is an integer number (986832856667).

Almost surely, 2^{86075214485600} is an apocalyptic number.

86075214485600 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 86075214485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106577948520036).

86075214485600 is an abundant number, since it is smaller than the sum of its proper divisors (127080682554472).

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

86075214485600 is a wasteful number, since it uses less digits than its factorization.

86075214485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10290 (or 10204 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 56.

The spelling of 86075214485600 in words is "eighty-six trillion, seventy-five billion, two hundred fourteen million, four hundred eighty-five thousand, six hundred".