86623488000000 has 2520 divisors, whose sum is σ = 368992655583552. Its totient is φ = 19169280000000.

The previous prime is 86623487999957. The next prime is 86623488000043. The reversal of 86623488000000 is 88432668.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86623487999957) and next prime (86623488000043).

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×86623488000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 86623488000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 661247999935 + ... + 661248000065.

Almost surely, 2^{86623488000000} is an apocalyptic number.

86623488000000 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 86623488000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184496327791776).

86623488000000 is an abundant number, since it is smaller than the sum of its proper divisors (282369167583552).

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

86623488000000 is an frugal number, since it uses more digits than its factorization.

86623488000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 86623488000000 in words is "eighty-six trillion, six hundred twenty-three billion, four hundred eighty-eight million", and thus it is an aban number.