86276610000 has 800 divisors, whose sum is σ = 357005721600. Its totient is φ = 19535040000.

The previous prime is 86276609989. The next prime is 86276610029. The reversal of 86276610000 is 1667268.

It is a happy number.

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 159 ways as a sum of consecutive naturals, for example, 360989881 + ... + 360990119.

It is an arithmetic number, because the mean of its divisors is an integer number (446257152).

Almost surely, 2^86276610000 is an apocalyptic number.

86276610000 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 86276610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178502860800).

86276610000 is an abundant number, since it is smaller than the sum of its proper divisors (270729111600).

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

86276610000 is a wasteful number, since it uses less digits than its factorization.

86276610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 86276610000 in words is "eighty-six billion, two hundred seventy-six million, six hundred ten thousand".