86965200000 has 1728 divisors, whose sum is σ = 398551444200. Its totient is φ = 18063360000.

The previous prime is 86965199989. The next prime is 86965200011. The reversal of 86965200000 is 256968.

It is an interprime number because it is at equal distance from previous prime (86965199989) and next prime (86965200011).

It can be written as a sum of positive squares in 12 ways, for example, as 26720479296 + 60244720704 = 163464^2 + 245448^2 .

It is a super-2 number, since 2×86965200000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2998799986 + ... + 2998800014.

Almost surely, 2^86965200000 is an apocalyptic number.

86965200000 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 86965200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199275722100).

86965200000 is an abundant number, since it is smaller than the sum of its proper divisors (311586244200).

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

86965200000 is a wasteful number, since it uses less digits than its factorization.

86965200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 86965200000 its reverse (256968), we get a palindrome (86965456968).

The spelling of 86965200000 in words is "eighty-six billion, nine hundred sixty-five million, two hundred thousand".