86270740010300 has 288 divisors, whose sum is σ = 204872975623680. Its totient is φ = 31419288806400.

The previous prime is 86270740010293. The next prime is 86270740010303. The reversal of 86270740010300 is 301004707268.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86270740010303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2874622295 + ... + 2874652305.

Almost surely, 2^{86270740010300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86270740010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102436487811840).

86270740010300 is an abundant number, since it is smaller than the sum of its proper divisors (118602235613380).

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

86270740010300 is a wasteful number, since it uses less digits than its factorization.

86270740010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30581 (or 30574 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

Adding to 86270740010300 its reverse (301004707268), we get a palindrome (86571744717568).

The spelling of 86270740010300 in words is "eighty-six trillion, two hundred seventy billion, seven hundred forty million, ten thousand, three hundred".