86627070000 has 800 divisors, whose sum is σ = 334483680960. Its totient is φ = 21648384000.

The previous prime is 86627069929. The next prime is 86627070001. The reversal of 86627070000 is 7072668.

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

It is not an unprimeable number, because it can be changed into a prime (86627070001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 371789884 + ... + 371790116.

Almost surely, 2^86627070000 is an apocalyptic number.

86627070000 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 86627070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167241840480).

86627070000 is an abundant number, since it is smaller than the sum of its proper divisors (247856610960).

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

86627070000 is an equidigital number, since it uses as much as digits as its factorization.

86627070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 86627070000 in words is "eighty-six billion, six hundred twenty-seven million, seventy thousand".