86625000000 has 840 divisors, whose sum is σ = 386953085376. Its totient is φ = 18000000000.

The previous prime is 86624999999. The next prime is 86625000019. The reversal of 86625000000 is 52668.

It is a tau number, because it is divible by the number of its divisors (840).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7874999995 + ... + 7875000005.

Almost surely, 2^86625000000 is an apocalyptic number.

86625000000 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 86625000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193476542688).

86625000000 is an abundant number, since it is smaller than the sum of its proper divisors (300328085376).

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

86625000000 is an frugal number, since it uses more digits than its factorization.

86625000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 86625000000 its reverse (52668), we get a palindrome (86625052668).

The spelling of 86625000000 in words is "eighty-six billion, six hundred twenty-five million", and thus it is an aban number.