86537612000 has 192 divisors, whose sum is σ = 243276493824. Its totient is φ = 29636006400.

The previous prime is 86537611999. The next prime is 86537612009. The reversal of 86537612000 is 21673568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86537612009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43202999 + ... + 43205001.

It is an arithmetic number, because the mean of its divisors is an integer number (1267065072).

Almost surely, 2^86537612000 is an apocalyptic number.

86537612000 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 86537612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121638246912).

86537612000 is an abundant number, since it is smaller than the sum of its proper divisors (156738881824).

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

86537612000 is a wasteful number, since it uses less digits than its factorization.

86537612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 86537612000 in words is "eighty-six billion, five hundred thirty-seven million, six hundred twelve thousand".